| 書目名稱 | Polynomial expansions of analytic functions | | 編輯 | Ralph P. Boas,R. Creighton Buck | | 視頻video | http://file.papertrans.cn/752/751357/751357.mp4 | | 叢書名稱 | Ergebnisse der Mathematik und Ihrer Grenzgebiete. 1. Folge | | 圖書封面 |  | | 描述 | 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 | | 出版日期 | Book 1964Latest edition | | 關(guān)鍵詞 | analytic function; boundary element method; form; function; functions; graph; information; presentation; set | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-662-25170-6 | | isbn_softcover | 978-3-662-23179-1 | | isbn_ebook | 978-3-662-25170-6 | | copyright | Springer-Verlag Berlin Heidelberg 1964 |
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