ÿþ<html xmlns="http://www.w3.org/1999/xhtml"> <head profile="http://gmpg.org/xfn/11"> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /> <title>Professional site of Roberto S. Costas-Santos...Publications</title> <meta name="description" content="BibServer: bibliographies"/> <meta name="keywords" content="Statistics, Mathematics, bibliography"/> <meta name="robots" content="inde, follow"/> <link rel="shortcut icon" href="http://bibserver.berkeley.edu/ui/images/favicon.ico"/> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/> <link href="http://bibserver.berkeley.edu/css/journalstyle.css" rel="stylesheet" type="text/css"/> <script type="text/JavaScript"> <!-- function SwitchVisibility(objId){ var el = document.getElementById(objId); if (el.className == 'bibtex_hide'){ el.style.display = "none"; } else { el.style.display = "block"; el.className = 'bibtex_hide'; } } //--> </script> <style type="text/css"> body { font-family: Verdana; background-color: #fffefa; } #page { width: 987px; } #header { background: url(http://www.rscosan.com/images/top-pic.jpg); height: 88px; width: 987px; } #headerimg { height: 108px; width: 987px; background: url(http://www.rscosan.com/images/top-pic.jpg) bottom center no-repeat; cursor: pointer; } #main { background: url(http://www.rscosan.com/images/top-pic.jpg); width: 987px; } #footer { width: 987px; } .bibtex {display: none; font-size: small} </style> </head> <body style="background-image: url(images/background.png);" lang="EN-US" link="#003300" vlink="#551A8B" id="onecolumn"> <span style='font-family:"Verdana","sans-serif"'> <center> <div id="header" class="png"> <div id="headerimg"> <h3><span style='color:#20EE72;font-family:"Berlin Sans FB"'>List of Publications and preprints</span></h3> <h4><span style='color:white;font-family:"Lucida Handwriting"'>Roberto S. Costas-Santos</span></h4> <a href="index.html"><span style='color:gold;'>Home</span></a>&nbsp;&nbsp;&nbsp; <a href="http://arxiv.org/find/grp_math/1/all%3A+costas_santos_r/0/1/0/all/0/1"><span style='color:gold;'>My Arxiv's</span></a>&nbsp;&nbsp;&nbsp;<a href="talks.html"><span style='color:gold;'>My Talks</span></a> &nbsp;&nbsp;&nbsp;<a href="photos.html"><span style='color:gold;'>Some Photos</span></a>&nbsp;&nbsp;&nbsp; <a href="links.html"><span style='color:gold;'>M7 Links</span></a>&nbsp;&nbsp;&nbsp; <a href="indice.html"><span style='color:gold; '>In Spanish</span></a><span style='color:gold;'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span style='font-size:8.0pt;'>Last update: 07..12..2011</span> </center> </div> </div> </center> <br> <br> <center> <table width="78%"> <tr> <td width="100%"> <div id="main-content"> <div class="wrapper"> <div class="content-item "><div id='g_body'> <font style="COLOR: rgb(15, 68, 149)" face="verdana" size="4"><b>In preparation</b></font><br> <ol> <span style="font-family: verdana; font-size: 13px;"> <li><i>Irrationality proofs of Zeta(3), Zeta(5) and Zeta(7).</i> </li> <li> <i>The top of semiclassical orthogonal polynomials: The $N$-Askey-Wilson polynomials</i> (with M. J. Atia)</li> <li> <i>{provisional}On polynomials satisfying a polynomial modification of a classical Rodrigues formula</i> (with M. J. Atia) </li> <li> <i>Orthogonal Polynomials and the Nth power trasnformation</i></li> <li> <i>{provisional} A generalization of Euler-Frobenious polynomials through classical linear functional</i> </li> </span></ol> <font style="COLOR: rgb(15, 68, 149)" face="verdana" size="4"><b>Preprints</b></font> <ol> <span style="font-family: verdana; font-size: 13px;"> <li> <i>Semiclassical quasi-orthogonal polynomials. A general difference calculus approach</i> (with F Marcellán) | [<span style='color:grey'>Arx</span>]</li> <li><i>Integral representations for a generalized Hermite linear functional</i> (with R. Sfaxi) | [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/0805.2772" target="_blank">Arx</a>]</li> <li><i>Matrices Totally Positive Relative to a Tree</i> | [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/1003.5160" target="_blank">Arx</a>] </li> </span></ol> <font style="COLOR: rgb(15, 68, 149)" face="verdana" size="4"><b>Papers</b></font> <font size="1"> [<span style='color:orange'>MR:</span>10] [<span style='border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130)'>Zbl:</span>11] [<span style='border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);'>Arx:</span>12] [<span style='color:grey'>BiBTeX:</span>12]</font> <ol> <span style="font-family: verdana; font-size: 13px;"> <li><i>Zeros of polynomials orthogonal with respect to a signed weight</i> (with M. Benabdallah and M. J. Atia), accepted, 2011. <br> [<span style='color:grey'>MR</span>] [<span style='color:grey'>Zbl</span>] [<span style='color:grey'>Arx</span>] [<span style='color:grey'>GS?</span>] [<span style='color:grey'>BiBTeX</span>] </li> <li><i>The complementary polynomials and the Rodrigues operator of COP</i> (with F Marcellán) Proc. AMS, accepted, 2011. <br> [<span style='color:grey'>MR</span>] [<span style='color:grey'>Zbl</span>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/0806.1405" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22The+complementary+polynomials+and+the+Rodrigues+operator+of&btnG=Search&as_sdt=0%2C5&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<span style='color:grey'>BiBTeX</span>] </li> <li><i><a href="http://dx.doi.org/10.1016/j.jat.2011.04.005" target="_blank">Orthogonality of q-polynomials for nonstandard parameters</i></a> (with J F Sánchez-Lara) J. Approx. Theory, In Press, 2011. <br> [<span style='color:grey'>MR</span>] [<span style='color:grey'>Zbl</span>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/1002.4657" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22+Orthogonality+of+q-polynomials+for+nonstandard+parameters&btnG=Search&as_sdt=0%2C5&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<span style='color:grey'>BiBTeX</span>] </li> <li><i><a href="http://dx.doi.org/10.1016/j.jat.2010.03.001" target="_blank">The Semiclassical-Sobolev orthogonal polynomials: A general approach</i></a> (with J J Moreno-Balcázar) J. Approx. Theory, <b>163</b>(1) (2011), 65--83. <br> [<a href="http://www.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=JOUR&pg8=ET&r=1&review_format=html&s4=&s5=The%20semiclassical%20Sobolev%20orthogonal%20polynomials%3A%20A%20general%20approach&s6=&s7=&s8=All&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq" target="_blank"><span style='color:orange'>MR</span><a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zbmath/search/?q=The%20semiclassical%20Sobolev%20orthogonal%20polynomials:%20a%20general%20approach" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/1003.4612" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22The+Semiclassical-Sobolev+orthogonal+polynomials%3A+A+general+approach&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_12')">BibTeX</a>] <div class='bibtex' id='bib_12'> <pre> @article {coba1, AUTHOR = {Costas-Santos, R.S. and Moreno-Balc\'azar, J.J.}, TITLE = {The semiclassical Sobolev orthogonal polynomials: a general approach}, JOURNAL = {J. Approx. Theory}, FJOURNAL = {Journal of Approximation theory}, VOLUME={163}, NUMBER={1}, PAGES={65--83}, YEAR = {2011}, ISSN = {0167-8019}, DOI={10.1016/j.jat.2010.03.001}, MRCLASS = {33C45 (42C05)}, MRNUMBER = {MR2741220} } </pre> </div> </li> <li><i><a href="http://www.springerlink.com/openurl.asp?genre=article&amp;id=doi:10.1007/s10440-009-9536-z" target="_blank">q-Classical orthogonal polynomial: A general difference calculus approach</a></i> (with F Marcellán) Acta Appl. Math. 2009.<br> DOI:10.1007/s10440-009-9536-z | [<a href=" http://www.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=RVCN&pg8=ET&r=1&review_format=html&s4=&s5=%24q%24-Classical%20Orthogonal%20Polynomials%3A%20A%20General%20Difference%20Calculus%20Approach&s6=&s7=&s8=All&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq" target="_blank"><span style='color:orange'>MR</span></a>][<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:1204.33011&format=complete" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/math.CA/0612097" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22q-Classical+orthogonal+polynomial%3A+A+general+difference+calculus+approach&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_11')">BibTeX</a>] <div class='bibtex' id='bib_11'> <pre> @article {cosmar1, AUTHOR = {Costas-Santos, R. S.; Marcellán, F.}, TITLE = {$q$-Classical Orthogonal Polynomials: A General Difference Calculus Approach}, JOURNAL = {Acta Appl. Math.}, FJOURNAL = {Acta Applicandae Mathematicae}, YEAR = {2009}, ISSN = {0167-8019}, MRCLASS = {33C45 (33D45)}, MRREVIEWER = {Thomas Stoll} } </pre> </div></li> <li><i> <a href="http://dx.doi.org/10.1016/j.cam.2008.07.055" target="_blank">Extensions of discrete classical orthogonal polynomials beyond the orthogonality</a></i> (with J F Sánchez-Lara)<br> J. Comput. Appl. Math. <b>225</b> (2009), no. 2, 440--451. | DOI:10.1016/j.cam.2008.07.055 | [<a href="http://ams.rice.edu.proxy.library.ucsb.edu:2048/mathscinet/search/publdoc.html?pg1=IID&s1=684129&vfpref=html&r=2&mx-pid=2494714" target="_blank"><span style='color:orange'>MR</span><a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:1167.42008&format=complete" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/0710.4930" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22Extensions+of+discrete+classical+orthogonal+polynomials+beyond+the+orthogonality&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_10')">BibTeX</a>] <div class='bibtex' id='bib_10'> <pre> @article {MR2494714, AUTHOR = {Costas-Santos, R. S.; Sánchez-Lara, J. F.}, TITLE = {Extensions of discrete classical orthogonal polynomials beyond the orthogonality}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {225}, NUMBER={2}, YEAR = {2009}, PAGES = {440--451}, ISSN = {1081-3810}, MRCLASS = {33C45 (33C47 42C05)}, MRNUMBER = {MR2494714}, MRREVIEWER = {Alicia Cachafeiro} } </pre> </div></li> <li><i>On the elementary symmetric functions of a sum of matrices.</i> J. Algebra Number Theory, Adv. Appl. <b>1</b> (2009), No. 2, 99-112.<br> [<span style='color:grey'>MR</span>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:pre05647845&format=complete" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/math/0612464" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22On+the+elementary+symmetric+functions+of+a+sum+of+matrices&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_9')">BibTeX</a>] <div class='bibtex' id='bib_9'> <pre> @article {cos1, AUTHOR = {Costas-Santos, Roberto S.}, TITLE = {On the elementary symmetric functions of a sum of matrices}, JOURNAL = {J. Algebra Number Theory, Adv. Appl.}, FJOURNAL = {Journal of Algebra, Number Theory: Advances and Applications}, VOLUME = {1}, NUMBER={2}, YEAR = {2009}, PAGES = {99--112}, ISSN = {0975-1548}, MRCLASS = {11C20 (05E05 11P81)} } </pre> </div></li> <li> <a href="http://www.emis.de/journals/ELA/ela-articles/articles/vol18_pp211-221.pdf" target="_blank"><i>Matrices Totally Positive Relative to a Tree</i></a> (with C R Johnson and B Tadchiev) Electron. J. Linear Algebra <b>18</b> (2009), 211--221.<br> [<a href=" http://ams.rice.edu.proxy.library.ucsb.edu:2048/mathscinet/search/publdoc.html?pg1=IID&s1=684129&vfpref=html&r=1&mx-pid=2505131" target="_blank"><span style='color:orange'>MR</span></a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:1171.15021&format=complete" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/0710.1366" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22Matrices+Totally+Positive+Relative+to+a+Tree&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_8')">BibTeX</a>] <div class='bibtex' id='bib_8'> <pre> @article {MR2505131, AUTHOR = {Johnson, Charles R.; Costas-Santos, Roberto S.; Tadchiev, Boris}, TITLE = {Matrices totally positive relative to a tree}, JOURNAL = {Electron. J. Linear Algebra}, FJOURNAL = {Electronic Journal of Linear Algebra}, VOLUME = {18}, YEAR = {2009}, PAGES = {211--221}, ISSN = {1081-3810}, MRCLASS = {15B48 (05C05 05C50 15A18 94C15)}, MRNUMBER = {MR2505131}, MRREVIEWER = {Carlos Marijuán} } </pre> </div></li> <li> <a href="http://dx.doi.org/10.1016/j.jmaa.2006.06.036" target="_blank"><i>Second structure relation for q-semiclassical polynomials of the Hahn Tableau</i></a> (with F Marcellán) J. Math. Anal. Appl. <b>329</b> (2007), no. 1, 206--228 | DOI:10.1016/j.jmaa.2006.06.036 | [<a href="http://www.ams.org/mathscinet/search/publdoc.html?arg3=&amp;co4=AND&amp;co5=AND&amp;co6=AND&amp;co7=AND&amp;dr=all&amp;pg4=AUCN&amp;pg5=TI&amp;pg6=PC&amp;pg7=ALLF&amp;pg8=ET&amp;s4=costas-santos&amp;s5=&amp;s6=&amp;s7=&amp;s8=All&amp;yearRangeFirst=&amp;yearRangeSecond=&amp;yrop=eq&amp;r=1" target="_blank"><span style='color:orange'>MR</span></a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:1113.33022&format=complete" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/0807.1353" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22Second+structure+relation+for+%24q%24-semiclassical+polynomials+of+the+Hahn+Tableau&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_7')">BibTeX</a>] <div class='bibtex' id='bib_7'> <pre> @article {MR2306798, AUTHOR = {Costas-Santos, R. S.; Marcellán, F.}, TITLE = {Second structure relation for $q$-semiclassical polynomials of the Hahn Tableau}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {329}, NUMBER={1}, YEAR = {2007}, PAGES = {206--228}, ISSN = {0022-247X}, MRCLASS = {33D45}, MRNUMBER = {MR2306798}, MRREVIEWER = {Qing-Hu Hou} } </pre> </div></li> <li> <a href="http://etna.math.kent.edu/vol.27.2007/pp34-50.dir/pp34-50.html" target="_blank"><i>Factorization of the hypergeometric-type difference equation on the uniform lattice</i></a> (with R Álvarez-Nodarse and N M Atakishiyev) <br> Electron. Trans. Numer. Anal. <b>27</b> (2007), 34--50 | [<a href="http://ams.rice.edu.proxy.library.ucsb.edu:2048/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&review_format=html&s4=costas-santos&s5=&s6=&s7=&s8=All&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=3&mx-pid=2346147" target="_blank"><span style='color:orange'>MR</span></a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:1176.33008&format=complete" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/1003.4784" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22Factorization+of+the+hypergeometric-type+difference+equation+on+the+uniform+lattice&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_6')">BibTeX</a>] <div class='bibtex' id='bib_6'> <pre> @article {MR2346147, AUTHOR = {Alvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S.}, TITLE = {Factorization of the hypergeometric-type difference equation on the uniform lattice}, JOURNAL = {Electron. Trans. Numer. Anal.}, FJOURNAL = {Electronic Transactions on Numerical Analysis}, VOLUME = {27}, YEAR = {2007}, PAGES = {34--50}, ISSN = {1068-9613}, MRCLASS = {33C45 (33C90 39A13)}, MRNUMBER = {MR2346147}, MRREVIEWER = {Stefan Gerhold} } </pre> </div></li> <li> <a href="http://www.springerlink.com/content/6151745273x46754/" target="_blank"><i>A q-analog of the Racah polynomials and q-algebra SUq(2) in quantum optics</i></a> (with R Álvarez-Nodarse and Y F Smirnov) J. Russ. Laser. Res. <b>Volume 27</b>, Number 1 (January 2006), 1--32. | DOI:10.1007/s10946-006-0001-4 | [<span style='color:red'><s>MR</s></span>] [<span style='color:red'><s>Zbl</s></span>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/math/0412540" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22A+q-analog+of+Racah+polynomials+and+q-algebra+SUq%282%29+in+quantum+optics+&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank"> GS?</a>] [<a href="javascript:SwitchVisibility('bib_5')">BibTeX</a>] <div class='bibtex' id='bib_5'> <pre> @article {alvcos1, AUTHOR = {Álvarez-Nodarse, R.; Costas-Santos, R. S.}, TITLE = {Limit relations between $q$-Krall type orthogonal polynomials}, JOURNAL = {J. Russ. Laser. Res.}, FJOURNAL = {Journal of Russian Laser Research}, VOLUME = {27}, NUMBER={1}, YEAR = {2006}, PAGES = {1--32}, ISSN = {1071-2836} } </pre> </div></li> <li> <a href="http://dx.doi.org/10.1016/j.jmaa.2005.08.067" target="_blank"><i>Limit relations between q-Krall type orthogonal polynomials</i></a> (with R Álvarez-Nodarse) J. Math. Anal. Appl. <b>322</b> (2006), no. 1, 158--176.<br> DOI:10.1016/j.jmaa.2005.08.067 | [<a href="http://ams.rice.edu.proxy.library.ucsb.edu:2048/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&review_format=html&s4=costas-santos&s5=&s6=&s7=&s8=All&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=5&mx-pid=2238156" target="_blank"><span style='color:orange'>MR</span></a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:1096.33011&format=complete" target="_blank">Zbl</a>] [<span style='color:grey'>Arx</span>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22Limit+relations+between+%24q%24-Krall+type+orthogonal+polynomials&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_4')">BibTeX</a>] <div class='bibtex' id='bib_4'> <pre> @article {MR2238156, AUTHOR = {Álvarez-Nodarse, R.; Costas-Santos, R. S.}, TITLE = {Limit relations between $q$-Krall type orthogonal polynomials}, JOURNAL = {J. Math. Anal. Appl.}, FJOURNAL = {Journal of Mathematical Analysis and Applications}, VOLUME = {322}, NUMBER={1}, YEAR = {2006}, PAGES = {158--176}, ISSN = {0022-247X}, MRCLASS = {33C45 (42C05)}, MRNUMBER = {MR2238156}, MRREVIEWER = {Youssèf Ben Cheikh} } </pre> </div></li> <li> <a href="http://dx.doi.org/10.1088/0305-4470/38/1/011" target="_blank"><i>Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra</i></a> (with R Álvarez-Nodarse and N M Atakishiyev) J. Phys. A <b>38</b> (2005), no. 1, 153--174 | DOi:10.1088/0305-4470/38/1/011 | [<a href="http://ams.rice.edu.proxy.library.ucsb.edu:2048/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&review_format=html&s4=costas-santos&s5=&s6=&s7=&s8=All&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=7&mx-pid=2126099" target="_blank"><span style='color:orange'>MR</span></a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:1079.33017&format=complete" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/1003.4853" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22Factorization+of+the+hypergeometric-type+difference+equation+on+non-uniform+lattices%3A+dynamical+algebra&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_3')">BibTeX</a>] <div class='bibtex' id='bib_3'> <pre> @article {MR2126099, AUTHOR = {Álvarez-Nodarse, R.; Atakishiyev, N. M.; Costas-Santos, R. S.}, TITLE = {Factorization of the hypergeometric-type difference equation on non-uniform lattices: dynamical algebra}, JOURNAL = {J. Phys. A}, FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical}, VOLUME = {38}, NUMBER={1}, YEAR = {2005}, PAGES = {153--174}, ISSN = {1751-8113}, MRCLASS = {39A13 (33D15)}, MRNUMBER = {MR2126099}, MRREVIEWER = {Lucia Di Vizio} } </pre> </div></li> <li> <a href="http://dx.doi.org/10.1016/j.laa.2005.06.018" target="_blank"><i>Principal minor sums of (A+tB)^m</i></a> (with Charles R Johnson, Stefan Leichenauer, and Peter McNamara) Linear Algebra Appl. <b>411</b> (2005), 386--389. | DOI:10.1016/j.laa.2005.06.018 | [<a href="http://www.ams.org/msnmain?fmt=doc&amp;fn=105&amp;id=2178699&amp;l=100&amp;pg3=ICN&amp;r=1&amp;s3=costas-santos" target="_blank"><span style='color:orange'>MR</span></a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:1086.15506&format=complete" target="_blank">Zbl</a>] [<span style='color:red'><s>Arx</s></span>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas+Roberto%22Principal+minor+sums+of+%28A%2BtB%29^m&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank">GS?</a>] [<a href="javascript:SwitchVisibility('bib_2')">BibTeX</a>] <div class='bibtex' id='bib_2'> <pre> @article {MR2178699, AUTHOR = {Johnson, Charles R.; Leichenauer, Stefan; McNamara, Peter; Costas, Roberto}, TITLE = {Principal minor sums of $(A+tB)^m$}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {411}, YEAR = {2005}, PAGES = {386--389}, ISSN = {0024-3795}, MRCLASS = {15A15 (15A57)}, MRNUMBER = {MR2178699}, MRREVIEWER = {Peter M. Gibson} } </pre> </div></li> <li> <a href="http://dx.doi.org/10.1088/0305-4470/34/27/306" target="_blank"><i>Factorization method for difference equations of hypergeometric type on nonuniform lattices</i></a> (with R Álvarez-Nodarse) J. Phys. A: Math. Gen. <b>34</b> (2001), no. 27, 5551 5569. | DOI:10.1088/0305-4470/34/27/306 | [<a href="http://www.ams.org/msnmain?fmt=doc&amp;fn=105&amp;id=1856663&amp;l=100&amp;pg3=ICN&amp;r=3&amp;s3=costas-santos" target="_blank"><span style='color:orange'>MR</span></a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(192,192, 255); color: rgb(0,0, 130);" href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:0994.39001&format=complete" target="_blank">Zbl</a>] [<a style="margin: -1px; padding: 1px; border-bottom-color: rgb(7, 183, 184); background-color: rgb(222, 243, 243); color: rgb(51, 153, 153);" href="http://arxiv.org/abs/1003.5279" target="_blank">Arx</a>] [<a href="http://scholar.google.com/scholar?hl=en&q=author%3A%22Costas-Santos+RS%22Factorization+method+for+difference+equations+of+hypergeometric+type+on+nonuniform+lattices&btnG=Search&as_sdt=2000&as_ylo=&as_vis=0" target="_blank" >GS?</a>] [<a href="javascript:SwitchVisibility('bib_1')">BibTeX</a>] <div class='bibtex' id='bib_1'> <pre> @article {MR1856663, AUTHOR = {Álvarez-Nodarse, R.; Costas-Santos, R. S.}, TITLE = {Factorization method for difference equations of hypergeometric type on nonuniform lattices}, JOURNAL = {J. Phys. A}, FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical}, VOLUME = {34}, NUMBER={27}, YEAR = {2001}, PAGES = {5551--5569}, ISSN = {1751-8113}, MRCLASS = {39A13 (33C45 33D45)}, MRNUMBER = {MR1856663}, MRREVIEWER = {A. M. Gavrilik} } </pre> </div> </li> </span> </ol> </div></div> <font style="COLOR: rgb(15, 68, 149)" face="verdana" size="4"><b>Unpublished works</b></font> <ol> <span style="font-family: verdana; font-size: 13px;"> </span></ol></div> <div style="clear: both"></div> </div> </div> <!-- /wrapper --><!-- /main-content --> <div id="footer"><div class="wrapper"> <hr /> <p><div id='g_footer'><p style="TEXT-ALIGN: center"><span style="COLOR: rgb(0,0,0)">Compiled with winedt 5.6 Miktex 2.7 ghostscript 8.61 -- Optimized for FireFox/G. Chrome</span>      <span style="LINE-HEIGHT: normal" class="Apple-style-span"> <a id="mws4610184" href="http://webstats.motigo.com/"><img tabindex="0" border="0" alt="Free counter and web stats" src="http://m1.webstats.motigo.com/n80x15.gif?id=AEZYiAngD1PNLVurtbKUgL1BLyRQ" width="80" height="15"></a> <script src="http://m1.webstats.motigo.com/c.js?id=4610184&amp;i=3" type="text/javascript"></script> </span></p></div></p> <div style="clear: both"></div> </div></div> <!-- /wrapper --><!-- /footer --> </div> </div> </td> </tr> </table> </center> </body> </html>