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On The Degree Of Convergence Of Sequences Of Extremal Polynomials And Other Extremal Functions
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Book Synopsis On the Degree of Convergence of Sequences of Extremal Polynomials and Other Extremal Functions by : J. L. Walsh
Download or read book On the Degree of Convergence of Sequences of Extremal Polynomials and Other Extremal Functions written by J. L. Walsh and published by . This book was released on 1960 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Degree of Convergence of Sequences of Extremal Polynomials and Other Extremal Functions by : J. L. Walsh
Download or read book On the Degree of Convergence of Sequences of Extremal Polynomials and Other Extremal Functions written by J. L. Walsh and published by . This book was released on 1960 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Papers by : Joseph L. Walsh
Download or read book Selected Papers written by Joseph L. Walsh and published by Springer Science & Business Media. This book was released on 2000-02-11 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".
Book Synopsis On the Asymptotic Properties of Extremal Polynomials with Prescribed Constant Term by : J. L. Walsh
Download or read book On the Asymptotic Properties of Extremal Polynomials with Prescribed Constant Term written by J. L. Walsh and published by . This book was released on 1960 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis OAR Cumulative Index of Research Results by : United States. Air Force. Office of Aerospace Research
Download or read book OAR Cumulative Index of Research Results written by United States. Air Force. Office of Aerospace Research and published by . This book was released on 1965 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government-wide Index to Federal Research & Development Reports by :
Download or read book Government-wide Index to Federal Research & Development Reports written by and published by . This book was released on 1966-11 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Interpolation and Approximation by Rational Functions in the Complex Domain by : J. L. Walsh
Download or read book Interpolation and Approximation by Rational Functions in the Complex Domain written by J. L. Walsh and published by American Mathematical Soc.. This book was released on 1935-12-31 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Complex Analysis by : Reiner Kuhnau
Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2004-12-09 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).
Book Synopsis Transactions of the American Mathematical Society by :
Download or read book Transactions of the American Mathematical Society written by and published by . This book was released on 1996 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Analysis and Dynamical Systems III by : Mark Lʹvovich Agranovskiĭ
Download or read book Complex Analysis and Dynamical Systems III written by Mark Lʹvovich Agranovskiĭ and published by American Mathematical Soc.. This book was released on 2008 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.
Book Synopsis Topics in Polynomials by : G. V. Milovanovi?
Download or read book Topics in Polynomials written by G. V. Milovanovi? and published by World Scientific. This book was released on 1994 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.
Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1927 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1960 with total page 1296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Air Force Scientific Research Bibliography by :
Download or read book Air Force Scientific Research Bibliography written by and published by . This book was released on 1965 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Properties of Polynomials with Auxiliary Conditions of Interpolation by : Joseph Leonard Walsh
Download or read book Asymptotic Properties of Polynomials with Auxiliary Conditions of Interpolation written by Joseph Leonard Walsh and published by . This book was released on 1961 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let a closed bounded point set E be given in the z-plane. Necessary and sufficient conditions are found for validity of the following: given assigned conditions of interpolation in a finite number of points: pn(zk) = Ank; there exists a sequence of polynomials pn(z) satisfying these conditions and lim sup max pn(z), z on E 1/n = (E), where (E) is the transfinite diameter of E. (Author).