Special Functions and Orthogonal Polynomials

Name: Special Functions and Orthogonal Polynomials
Brand: Cambridge University Press
SKU: 9781107106987
Price: 101.15 EUR
Availability: InStock

Autor: Richard Beals, Roderick Wong

Jazyk:

Väzba: Pevná

Vydavateľ: Cambridge University Press

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Odosielame za 10-18 dní

101.15 €

The subject of special functions is often presented as a collection of disparate results, rarely org...

Informácie o knihe

Autor

Richard Beals, Roderick Wong

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2016

Stránok

488

EAN

9781107106987

ISBN

1107106982

Enbook ID

02895872

Vydavateľ

Cambridge University Press

Hmotnosť

874

Rozmery

235 x 162 x 33

Kompletný popis

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'.

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Special Functions and Orthogonal Polynomials

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