It takes the average reader 1 hour and 26 minutes to read Polynomial expansions of analytic functions by Ralph P. Boas
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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.
Polynomial expansions of analytic functions by Ralph P. Boas is 85 pages long, and a total of 21,675 words.
This makes it 29% the length of the average book. It also has 26% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 58 minutes to read Polynomial expansions of analytic functions aloud.
Polynomial expansions of analytic functions is suitable for students ages 10 and up.
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