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Author: Wolfgang J. Thron
Publisher:
ISBN:
Category : Convergence series
Languages : en
Pages : 68
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Book Description
Author: Wolfgang J. Thron
Publisher:
ISBN:
Category : Convergence series
Languages : en
Pages : 68
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Book Description
Author: W. B. Jones
Publisher: Springer
ISBN: 3540392769
Category : Mathematics
Languages : en
Pages : 250
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Book Description
Author: Hubert Stanley Wall
Publisher: Courier Dover Publications
ISBN: 0486823695
Category : Mathematics
Languages : en
Pages : 449
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Book Description
One of the most authoritative and comprehensive books on continued fractions, this monograph presents a unified theory correlating certain parts and applications of the subject within a larger analytic structure. 1948 edition.
Author: Lisa Jacobsen
Publisher: Springer
ISBN: 354046820X
Category : Mathematics
Languages : en
Pages : 152
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Book Description
Author: S. Clement Cooper
Publisher: CRC Press
ISBN: 1000111059
Category : Mathematics
Languages : en
Pages : 400
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Book Description
This reference - the proceedings of a research conference held in Loen, Norway - contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. Uniting the research efforts of many international experts, this volume: treats strong moment problems, orthogonal polynomials and Laurent polynomials; analyses sequences of linear fractional transformations; presents convergence results, including truncation error bounds; considers discrete distributions and limit functions arising from indeterminate moment problems; discusses Szego polynomials and their applications to frequency analysis; describes the quadrature formula arising from q-starlike functions; and covers continued fractional representations for functions related to the gamma function.;This resource is intended for mathematical and numerical analysts; applied mathematicians; physicists; chemists; engineers; and upper-level undergraduate and agraduate students in these disciplines.
Author: Lisa Lorentzen
Publisher: atlantis press
ISBN: 9078677074
Category : Mathematics
Languages : en
Pages : 321
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Book Description
Continued Fractions consists of two volumes -- Volume 1: Convergence Theory; and Volume 2: Representation of Functions (tentative title), which is expected in 2011. Volume 1 is dedicated to the convergence and computation of continued fractions, while Volume 2 will treat representations of meromorphic functions by continued fractions. Taken together, the two volumes will present the basic continued fractions theory without requiring too much previous knowledge; some basic knowledge of complex functions will suffice. Both new and advanced graduate students of continued fractions shall get a comprehensive understanding of how these infinite structures work in a number of applications, and why they work so well. A varied buffet of possible applications to whet the appetite is presented first, before the more basic but modernized theory is given.This new edition is the result of an increasing interest in computing special functions by means of continued fractions. The methods described in detail are, in many cases, very simple, yet reliable and efficient.
Author: Wolfgang J. Thron
Publisher: Springer
ISBN: 3540388176
Category : Mathematics
Languages : en
Pages : 305
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Book Description
Author: Bruce C. Berndt
Publisher: American Mathematical Soc.
ISBN: 0821812009
Category : Mathematics
Languages : en
Pages : 402
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Book Description
This volume presents the contributions from the international conference held at the University of Missouri at Columbia, marking Professor Lange's 70th birthday and his retirement from the university. The principal purpose of the conference was to focus on continued fractions as a common interdisciplinary theme bridging gaps between a large number of fields-from pure mathematics to mathematical physics and approximation theory. Evident in this work is the widespread influence of continued fractions in a broad range of areas of mathematics and physics, including number theory, elliptic functions, Padé approximations, orthogonal polynomials, moment problems, frequency analysis, and regularity properties of evolution equations. Different areas of current research are represented. The lectures at the conference and the contributions to this volume reflect the wide range of applicability of continued fractions in mathematics and the applied sciences.
Author: J. Vignes
Publisher: Elsevier
ISBN: 1483295672
Category : Mathematics
Languages : en
Pages : 442
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Book Description
Numerical Mathematics and Applications
Author: Annie A.M. Cuyt
Publisher: Springer Science & Business Media
ISBN: 1402069499
Category : Mathematics
Languages : en
Pages : 430
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Book Description
Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!
