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Polynomial Expansions Of Analytic Functions
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Book Synopsis Polynomial expansions of analytic functions by : Ralph P. Boas
Download or read book Polynomial expansions of analytic functions written by Ralph P. Boas and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Polynomial Expansions of Analytic Functions by : Ralph P.Jr. Boas
Download or read book Polynomial Expansions of Analytic Functions written by Ralph P.Jr. Boas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Polynomial expansions of analytic functions by : Ralph P. Boas (Jr.)
Download or read book Polynomial expansions of analytic functions written by Ralph P. Boas (Jr.) and published by . This book was released on 1958 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial expansions of analytic functions by : Ralph Philip Boas
Download or read book Polynomial expansions of analytic functions written by Ralph Philip Boas and published by . This book was released on 1964 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial expansions of analytic functions by : Ralph Philip Boas
Download or read book Polynomial expansions of analytic functions written by Ralph Philip Boas and published by . This book was released on 1964 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial expansions of analytic functions, by R.P.Boas and R.C.Buck by : Ralph Philip Boas
Download or read book Polynomial expansions of analytic functions, by R.P.Boas and R.C.Buck written by Ralph Philip Boas and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial expansions of analytic functions by :
Download or read book Polynomial expansions of analytic functions written by and published by . This book was released on 1958 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial Expansions of Analytic Functions by : Ralph Philip Boas
Download or read book Polynomial Expansions of Analytic Functions written by Ralph Philip Boas and published by . This book was released on 1964 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial expansions of analytic functions With 16 fig by : Ralph Philip Boas
Download or read book Polynomial expansions of analytic functions With 16 fig written by Ralph Philip Boas and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial Expansion of Analytic Functions by : Ralph Philip Boas
Download or read book Polynomial Expansion of Analytic Functions written by Ralph Philip Boas and published by . This book was released on 1964 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Note on Least-square Approximation to an Analytic Function by Polynomials, as Measured by a Surface Integral by : Joseph Leonard Walsh
Download or read book Note on Least-square Approximation to an Analytic Function by Polynomials, as Measured by a Surface Integral written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On a Generalized Whittaker Problem and Polynomial Expansions of Analytic Functions by : James Leo Quentin Frank
Download or read book On a Generalized Whittaker Problem and Polynomial Expansions of Analytic Functions written by James Leo Quentin Frank and published by . This book was released on 1969 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Expansions of Analytic Functions in Terms of Generalized Appell Polynomials by : Joseph Embley Emonds
Download or read book Expansions of Analytic Functions in Terms of Generalized Appell Polynomials written by Joseph Embley Emonds and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic Theory of Polynomials by : Qazi Ibadur Rahman
Download or read book Analytic Theory of Polynomials written by Qazi Ibadur Rahman and published by Oxford University Press. This book was released on 2002 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents easy to understand proofs of same of the most difficult results about polynomials demonstrated by means of applications
Book Synopsis Polyanalytic Functions by : Mark Benevich Balk
Download or read book Polyanalytic Functions written by Mark Benevich Balk and published by Wiley-VCH. This book was released on 1991-11-13 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic Function Theory by : Einar Hille
Download or read book Analytic Function Theory written by Einar Hille and published by American Mathematical Soc.. This book was released on 2002 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizes the conceptual and historical continuity of analytic function theory. This work covers topics including elliptic functions, entire and meromorphic functions, as well as conformal mapping. It features chapters on majorization and on functions holomorphic in a half-plane.
Book Synopsis On the Analogue for Maximally Convergent Polynomials of Jentzsch's Theorem by : Joseph Leonard Walsh
Download or read book On the Analogue for Maximally Convergent Polynomials of Jentzsch's Theorem written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although sequences of rational and analytic functions of the complex variable have been studied in some detail [2,3] regarding geometric degree of convergence, and convergent sequences of analytic functions have been basically studied [4] with reference to their zeros, no adequate applications to maximally convergent sequence of polynomials as such have been made. In particular there has been no special study of the analogue of Jentzsch's theorem, that every point of the circle of convergence of a Taylor development is a limit point of zeros of the partial sums. The object of the present paper is to investigate specifically the zeros of maximally convergent sequences of polynomials, including in detail some illuminating special expansions.
