Polynomial expansions of analytic functions, 1

Name: Polynomial expansions of analytic functions, 1
Brand: Springer, Berlin
SKU: 9783662231791
Price: 19721 HUF
Availability: InStock

Szerző: Ralph P. Boas, Robert Creighton Buck

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

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This monograph deals with the expansion properties, in the complex domain, of sets of polynomials wh...

Információk a könyvről

Szerző

Ralph P. Boas, Robert Creighton Buck

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

1964

oldal

EAN

9783662231791

ISBN

3662231794

Enbook ID

02302601

Kiadó

Springer, Berlin

Súly

152

Méretek

155 x 235 x 5

Teljes leírás

This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus represents a synthesis of two branches of analysis which have been developing almost independently. On the one hand there has grown up a body of results dealing with the more or less formal prop erties of sets of polynomials which possess simple generating relations. Much of this material is summarized in the Bateman compendia (ERDELYI [1], voi. III, chap. 19) and in TRUESDELL [1]. On the other hand, a problem of fundamental interest in classical analysis is to study the representability of an analytic function f(z) as a series ,Lc,. p,. (z), where {p,. } is a prescribed sequence of functions, and the connections between the function f and the coefficients c,. . BIEBERBACH's mono graph Analytische Fortsetzung (Ergebnisse der Mathematik, new series, no. 3) can be regarded as a study of this problem for the special choice p,. (z) =z", and illustrates the depth and detail which such a specializa tion allows. However, the wealth of available information about other sets of polynomials has seldom been put to work in this connection (the application of generating relations to expansion of functions is not even mentioned in the Bateman compendia). At the other extreme, J. M.

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Polynomial expansions of analytic functions, 1

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