Name: Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics) (en Inglés)
Price: 133480.00 CLP
Availability: InStock
Author: Richard Beals; Roderick Wong
ISBN: 9781107106987

portada Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

Richard Beals; Roderick Wong

Año

2016

Idioma

Inglés

N° páginas

488

Encuadernación

Tapa Dura

ISBN13

9781107106987

N° edición

Categorías

Cálculo y análisis matemático

Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics) (en Inglés)

Richard Beals; Roderick Wong (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics) (en Inglés)"

The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painlevé transcendents, which have been termed the 'special functions of the twenty-first century'.