Second Order Differential Equations [recurso electrónico] : Special Functions and Their Classification / by Gerhard Kristensson.

Por: Kristensson, Gerhard [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoEditor: New York, NY : Springer New York, 2010Descripción: XII, 219 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9781441970206Tema(s): Mathematics | Functional equations | Functions of complex variables | Differential Equations | Functions, special | Mathematics | Ordinary Differential Equations | Special Functions | Functions of a Complex Variable | Difference and Functional EquationsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515.352 Clasificación LoC:QA372Recursos en línea: Libro electrónicoTexto
Contenidos:
Basic properties of the solutions -- Equations of Fuchsian type -- Equations with one to four regular singular points -- The hypergeometric differential equation -- Legendre functions and related functions -- Confluent hypergeometric functions -- Heun’s differential equation.
En: Springer eBooksResumen: Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focusingon the systematic treatment and classification of these solutions. Each chapter contains a set of problems which help reinforce the theory. Some of the preliminaries are covered in appendices at the end of the book, one of which provides an introduction to Poincaré-Perron theory, and the appendix also contains a new way of analyzing the asymptomatic behavior of solutions of differential equations. This textbook is appropriate for advanced undergraduate and graduate students in Mathematics, Physics, and Engineering interested in Ordinary and Partial Differntial Equations. A solutions manual is available online.
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Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA372 (Browse shelf(Abre debajo)) 1 No para préstamo 371805-2001

Basic properties of the solutions -- Equations of Fuchsian type -- Equations with one to four regular singular points -- The hypergeometric differential equation -- Legendre functions and related functions -- Confluent hypergeometric functions -- Heun’s differential equation.

Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focusingon the systematic treatment and classification of these solutions. Each chapter contains a set of problems which help reinforce the theory. Some of the preliminaries are covered in appendices at the end of the book, one of which provides an introduction to Poincaré-Perron theory, and the appendix also contains a new way of analyzing the asymptomatic behavior of solutions of differential equations. This textbook is appropriate for advanced undergraduate and graduate students in Mathematics, Physics, and Engineering interested in Ordinary and Partial Differntial Equations. A solutions manual is available online.

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