Zobacz książki o podobnej tematyce

Więcej informacji o Polynomial expansions of analytic functions, 1

• Dane szczegółowe
• Opis
• Ulubione w innej kategorii

Za ten zakup dostaniesz 175 punkty

Opis

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.

Szczegóły książki

Kategoria Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Polynomial expansions of analytic functions, 1
• Autor: Ralph P. Boas, Robert Creighton Buck
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 77
• EAN: 9783662231791
• ISBN: 3662231794
• ID: 02302601
• Wydawca: Springer, Berlin
• Waga: 152 g
• Wymiary: 235 × 155 × 5 mm
• Data wydania: 01. January 1964

Ulubione w innej kategorii

---

---

---