Ralph P Boas

(Author)

Polynomial Expansions of Analytic Functions (1964. Softcover Reprint of the Original 2nd 1964)Paperback - 1964. Softcover Reprint of the Original 2nd 1964, 1 January 1964

Polynomial Expansions of Analytic Functions (1964. Softcover Reprint of the Original 2nd 1964)
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Part of Series
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 1. Folge
Part of Series
Ergebnisse der Mathematik Und Ihrer Grenzgebiete
Print Length
77 pages
Language
English
Publisher
Springer
Date Published
1 Jan 1964
ISBN-10
3662231794
ISBN-13
9783662231791

Description

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.

Product Details

Authors:
Ralph P BoasRobert Creighton Buck
Book Edition:
1964. Softcover Reprint of the Original 2nd 1964
Book Format:
Paperback
Country of Origin:
US
Date Published:
1 January 1964
Dimensions:
23.39 x 15.6 x 0.46 cm
ISBN-10:
3662231794
ISBN-13:
9783662231791
Language:
English
Location:
Berlin, Heidelberg
Pages:
77
Publisher:
Weight:
136.08 gm

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