Haakon Waadeland's Books

Handbook of Continued Fractions for Special Functions

By: Annie A.M. Cuyt,Vigdis Petersen,Brigitte Verdonk,Haakon Waadeland,William B. Jones

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Handbook of Continued Fractions for Special Functions

By: Annie A.M. Cuyt,Vigdis Petersen,Brigitte Verdonk,Haakon Waadeland,William B. Jones

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!

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Page Count

430

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1402069499

ISBN 13

9781402069499

CONTINUED FRACTIONS

By: Haakon Waadeland,Lisa Lorentzen

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CONTINUED FRACTIONS

By: Haakon Waadeland,Lisa Lorentzen

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.

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Page Count

321

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9491216376

ISBN 13

9789491216374

Continued Fractions

By: Lisa Lorentzen,Haakon Waadeland

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Continued Fractions

By: Lisa Lorentzen,Haakon Waadeland

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.

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Page Count

321

Publisher

atlantis press

Published Date

ISBN 10

9078677074

ISBN 13

9789078677079

Book's by Haakon Waadeland

Handbook of Continued Fractions for Special Functions

Handbook of Continued Fractions for Special Functions

CONTINUED FRACTIONS

CONTINUED FRACTIONS

Continued Fractions

Continued Fractions

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