{"id":25746,"date":"2018-03-09T09:17:15","date_gmt":"2018-03-09T09:17:15","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/funciones-generatrices-para-polinomios-ortogonales-no-estandar\/"},"modified":"2018-03-09T09:17:15","modified_gmt":"2018-03-09T09:17:15","slug":"funciones-generatrices-para-polinomios-ortogonales-no-estandar","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/funciones-generatrices-para-polinomios-ortogonales-no-estandar\/","title":{"rendered":"Funciones generatrices para polinomios ortogonales no est\u00e1ndar"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Garc\u00eda Caballero Esther M. <\/strong><\/h2>\n<p>En esta tesis, contribuimos a la teor\u00eda de polinomios ortogonales obteniendo funciones generatrices para diferentes familias de polinomios.  en primer lugar mostramos una serie de m\u00e9todos conocidos que permiten obtener funciones generatrices; m\u00e9todo de lso residuos, m\u00e9todo de los operadores, m\u00e9todo de los residuos, m\u00e9todo de los operadores, m\u00e9todo directo. Tambi\u00e9n mostramos un resultado de p. Maroni y j. Van iseghem.  posteriormente, se obtienen f\u00f3rmulas cerradas para las funciones generatrices en los siguientes casos:  1,- polinomios ortogonales de tipo sobolev. En particular los casos sobolev-laguerre con masa en 0, sobolev-hermite con masa en 0, sobolev-legendre con masa en -1,1, y con dos masas sim\u00e9tricamente distrubidas en -1 y 1, sobolev-chebyshev con masa en -1,0,1 y con dos masas sim\u00e9tricamente distribuidas en -1 y 1, y para los sobolev-gegenbauer con masa en 1 y valor del par\u00e1metro mayor que cero.  2,- polinomios ortogonales de laguerre-sobolev no diagonales.  adem\u00e1s, se deduce una expresi\u00f3n para la funci\u00f3n generatriz asociada a una sucesi\u00f3n simetrizada de una familia de polinomios ortogonales cuya funci\u00f3n generatriz conocemos expl\u00edcitamente, en este contexto obtenemos una funci\u00f3n generatriz para los polinomos ortogonales de tipo laguerre y para los polinomios ortogonales de tipo hermite generalizados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Funciones generatrices para polinomios ortogonales no est\u00e1ndar<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Funciones generatrices para polinomios ortogonales no est\u00e1ndar <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Garc\u00eda Caballero Esther M. <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/09\/2003<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Miguel \u00e1ngel Pi\u00f1ar Gonz\u00e1lez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas S\u00e1nchez dehesa moreno cid <\/li>\n<li> Moreno balc\u00e1zar Juan  Jos\u00e9 (vocal)<\/li>\n<li>Mar\u00eda  alicia Cachafeiro lopez (vocal)<\/li>\n<li>renato \u00e1lvarez nodarse (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Garc\u00eda Caballero Esther M. En esta tesis, contribuimos a la teor\u00eda de polinomios ortogonales obteniendo funciones generatrices [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1],"tags":[74841,21867,21551,74842,74843,49518],"class_list":["post-25746","post","type-post","status-publish","format-standard","hentry","category-sin-categoria","tag-garcia-caballero-esther-m","tag-jesus-sanchez-dehesa-moreno-cid","tag-maria-alicia-cachafeiro-lopez","tag-miguel-angel-pinar-gonzalez","tag-moreno-balcazar-juan-jose","tag-renato-alvarez-nodarse"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/25746","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=25746"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/25746\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=25746"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=25746"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=25746"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}