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Continued Fractions

Author : Lisa Lorentzen
ISBN : 9789078677079
Genre : Mathematics
File Size : 59. 26 MB
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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.

Continued Fractions

Author : Haakon Waadeland
ISBN : 9789491216374
Genre : Mathematics
File Size : 44. 19 MB
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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.

Orthogonal Functions

Author : William Jones
ISBN : 0824702077
Genre : Mathematics
File Size : 23. 39 MB
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"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature."

Analytic Theory Of Continued Fractions Iii

Author : Lisa Jacobsen
ISBN : 9783540468202
Genre : Mathematics
File Size : 33. 78 MB
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Continued Fractions And Orthogonal Functions

Author : S. Clement Cooper
ISBN : 0824790715
Genre : Mathematics
File Size : 37. 94 MB
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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.

Communications In The Analytic Theory Of Continued Fractions

Author :
ISBN : UOM:39015049065496
Genre : Continued fractions
File Size : 57. 13 MB
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Continued Fractions With Applications

Author : Lisa Lorentzen
ISBN : UOM:39076001255129
Genre : Mathematics
File Size : 87. 34 MB
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This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains several recent results and new angles of approach and thus should be of interest to researchers throughout the field. The first five chapters contain an introduction to the basic theory, while the last seven chapters present a variety of applications. Finally, an appendix presents a large number of special continued fraction expansions. This very readable book also contains many valuable examples and problems.

Friends Journal

Author :
ISBN : STANFORD:36105012812132
Genre : Society of Friends
File Size : 53. 93 MB
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Friends Intelligencer

Author :
ISBN : PSU:000060071477
Genre : Society of Friends
File Size : 27. 36 MB
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