Polynomial Expansions of Analytic Functions is popular PDF and ePub book, written by Ralph P.Jr. Boas in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Polynomial Expansions of Analytic Functions can be Read Online from any device for your convenience.
Polynomial Expansions of Analytic Functions Book PDF Summary
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 [1J, vol. III, chap. 19) and in TRUESDELL [1J. On the other hand, a problem of fundamental interest in classical analysis is to study the representability of an analytic function j(z) as a series 2::CnPn(z), where {Pn} is a prescribed sequence of functions, and the connections between the function j and the coefficients en. BIEBERBACH'S mono graph Analytisehe Fortsetzung (Ergebnisse der Mathematik, new series, no. 3) can be regarded as a study of this problem for the special choice Pn (z) = zn, 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.
Detail Book of Polynomial Expansions of Analytic Functions PDF
- Author : Ralph P.Jr. Boas
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642878879
- Genre : Mathematics
- Total Page : 85 pages
- Language : English
- PDF File Size : 9,8 Mb
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