{"id":11947,"date":"2001-04-07T00:00:00","date_gmt":"2001-04-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-de-estudio-de-la-asintotica-de-ceros-de-funciones-especiales\/"},"modified":"2001-04-07T00:00:00","modified_gmt":"2001-04-07T00:00:00","slug":"metodos-de-estudio-de-la-asintotica-de-ceros-de-funciones-especiales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-de-estudio-de-la-asintotica-de-ceros-de-funciones-especiales\/","title":{"rendered":"M\u00e9todos de estudio de la asint\u00f3tica de ceros de funciones especiales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Pedro Mart\u00ednez Gonz\u00e1lez <\/strong><\/h2>\n<p>En esta tesis se estudian varios m\u00e9todos de obtenci\u00f3n de la distribuci\u00f3n asint\u00f3tica d\u00e9bil de ceros de las soluciones de ciertas familias uniparam\u00e9tricas de ecuaciones diferenciales lineales de segundo orden cuyos coeficientes son funciones polin\u00f3micos en la variable independiente y meromorfas en el par\u00e1metro.  en el cap\u00edtulo 1 se revisan varios de los m\u00e9todos m\u00e1s populares que se utilizan para abordar el problema; m\u00e9todo de descenso m\u00e1s r\u00e1pido, m\u00e9todo de parboux, m\u00e9todo basado en la ortogonalidad, m\u00e9todo basado en la aproximaci\u00f3n wkb, m\u00e9todo basado en la transformada del stieltjes, etc. Y se realiza una breve comparativa entre ellos.  en el cap\u00edtulo 2, usando el m\u00e9todo basado en la aproximaci\u00f3n wkb, se determinan el reescalamiento que a veces ser\u00e1 necesario realizar y la distribuci\u00f3n asint\u00f3tica de los ceros reales de las soluciones de ecuaciones diferenciales halon\u00f3micas, para ello se utiliza tan s\u00f3lo los coeficientes de las ecuaciones diferencial. Se ilustra con importantes ejemplos: polinomios cl\u00e1sicos cuyos par\u00e1metros variantes toman valores cl\u00e1sicos y no cl\u00e1sicos, polinomios de heine-stieltjes, etc.  en el cap\u00edtulo 3,usando m\u00e9todos basados en la teor\u00eda del potencial, se determinan la distribuci\u00f3n  asint\u00f3tica de ceros reales y complejos de las familias de pollinomios: jacobi, laguenve y bessel cuyos par\u00e1metros verifican que. &#8212; . Para ello se utiliza cierta propiedad de arogonalidad no hermitiana que dichos familias de polinomios verifican.  en el cap\u00edtulo 4 contiene los algoritmos que se derivan de los resultados constructivos obtenidos en los cap\u00edtulso anteriores y los programas simb\u00f3licos correspondientes, que permiten de forma autom\u00e1tica de obtenci\u00f3n de la asint\u00f3tica.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>M\u00e9todos de estudio de la asint\u00f3tica de ceros de funciones especiales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 M\u00e9todos de estudio de la asint\u00f3tica de ceros de funciones especiales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Pedro Mart\u00ednez Gonz\u00e1lez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Almer\u00eda<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 04\/07\/2001<\/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>Andrei Mart\u00ednez Finkelshtein<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Maracell\u00e1n espa\u00f1ol <\/li>\n<li>ram\u00f3n Orive rodr\u00edguez (vocal)<\/li>\n<li>Jes\u00fas S\u00e1nchez dehesa moreno cid (vocal)<\/li>\n<li>leonid Golinskiy (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Pedro Mart\u00ednez Gonz\u00e1lez En esta tesis se estudian varios m\u00e9todos de obtenci\u00f3n de la distribuci\u00f3n asint\u00f3tica d\u00e9bil [&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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