Handbook of Continued Fractions for Special Functions

Handbook of Continued Fractions for Special Functions
Author: Annie A.M. Cuyt
Publisher: Springer Science & Business Media
Total Pages: 430
Release: 2008-04-12
Genre: Mathematics
ISBN: 1402069499


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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!


Handbook of Continued Fractions for Special Functions
Language: en
Pages: 430
Authors: Annie A.M. Cuyt
Categories: Mathematics
Type: BOOK - Published: 2008-04-12 - Publisher: Springer Science & Business Media

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Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer sc
Continued Fractions
Language: en
Pages: 321
Authors: Lisa Lorentzen
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: atlantis press

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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 2
Continued Fractions and Orthogonal Functions
Language: en
Pages: 402
Authors: S. Clement Cooper
Categories: Mathematics
Type: BOOK - Published: 2020-12-17 - Publisher: CRC Press

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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 ap
Continued Fractions
Language: en
Pages: 202
Authors: A. M. Rockett
Categories: Mathematics
Type: BOOK - Published: 1992-08-01 - Publisher: World Scientific

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This book presents the arithmetic and metrical theory of regular continued fractions and is intended to be a modern version of A. Ya. Khintchine's classic of th
Continued Fractions with Applications
Language: en
Pages: 634
Authors: L. Lorentzen
Categories: Computers
Type: BOOK - Published: 1992-11-08 - Publisher: North Holland

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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 g