{"id":55435,"date":"2006-10-11T00:00:00","date_gmt":"2006-10-11T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aspectos-cualitativos-y-numericos-de-la-ecuacion-hipergeometrica\/"},"modified":"2006-10-11T00:00:00","modified_gmt":"2006-10-11T00:00:00","slug":"aspectos-cualitativos-y-numericos-de-la-ecuacion-hipergeometrica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/funciones-especiales\/aspectos-cualitativos-y-numericos-de-la-ecuacion-hipergeometrica\/","title":{"rendered":"Aspectos cualitativos y numericos de la ecuacion hipergeometrica"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alfredo Dea\u00f1o Cabrera <\/strong><\/h2>\n<p>En esta memoria exponemos el trabajo de investigaci\u00f3n realizado sobre propiedades anal\u00edticas y num\u00e9ricas de funciones que son soluci\u00f3n de las ecuaciones hipergeom\u00e9tricas de gauss y kummer. Los problemas que analizamos en esta memoria son los siguientes:  1. Estudio anal\u00edtico de los ceros reales de las funciones hipergeom\u00e9tricas, en concreto propiedades de tipo sturm, es decir, cotas de distancias entre ceros consecutivos y monoton\u00eda de dichas distancias. Se obtienen propiedades globales de los ceros de forma sistem\u00e1tica, incluyendo como casos particulares algunos presentes en la literatura y generalizaciones de los mismos. 2. Propiedades num\u00e9ricas de las relaciones de recurrencia a tres t\u00e9rminos que satisfacen las funciones hipergeom\u00e9tricas de gauss y kummer, as\u00ed como de las fracciones continuas asociadas a dichas recurrencias. Se presentan los conceptos de soluci\u00f3n pseudom\u00ednima de una recurrencia y de pseudoconvergencia de la fracci\u00f3n continua asociada.  finalmente, se analizan m\u00e9todos de punto fijo para el c\u00e1lculo num\u00e9rico de ceros reales de funciones hipergeom\u00e9tricas. Estos m\u00e9todos se aplican a cocientes de funciones contiguas, y se utilizan para construir un paquete de rutinas en el programa simb\u00f3lico-num\u00e9rico maple. El an\u00e1lisis computacional del algoritmo incluye la comparaci\u00f3n de fracciones continuas y subrutinas de maple para la evaluaci\u00f3n de los cocientes de funciones hipergeom\u00e9tricas<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aspectos cualitativos y numericos de la ecuacion hipergeometrica<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aspectos cualitativos y numericos de la ecuacion hipergeometrica <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alfredo Dea\u00f1o Cabrera <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 10\/11\/2006<\/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> Segura Sala Jos\u00e9 Javier<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Marcellan espa\u00f1ol <\/li>\n<li>Jes\u00fas S\u00e1nchez dehesa moreno cid (vocal)<\/li>\n<li>Mar\u00eda Temme nicolaas (vocal)<\/li>\n<li>andrei Martinez finkelshtein (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alfredo Dea\u00f1o Cabrera En esta memoria exponemos el trabajo de investigaci\u00f3n realizado sobre propiedades anal\u00edticas y num\u00e9ricas [&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 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