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Handbook of continued fractions for special functions

Author: Annie Cuyt
Publisher: [Dordrecht, Netherlands] : Springer, ©2008.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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 and a large collection of papers have been devoted to these functions. But so far no project has been devoted to the systematic study of continued fraction representations for  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Annie Cuyt
ISBN: 9781402069482 1402069480
OCLC Number: 213855645
Description: xvi, 431 pages : illustrations ; 25 cm
Contents: Basics --
Continued fraction representation of functions --
Convergence criteria --
Padé approximants --
Moment theory and orthogonal functions --
Continued fraction construction --
Truncation error bounds --
Continued fraction evaluation --
On tables and graphs --
Mathematical constants --
Elementary functions --
Gamma function and related functions --
Error function and related integrals --
Exponential integrals and related functions --
Hypergeometric functions --
Confluent hypergeometric functions --
Bessel functions --
Probability functions --
Basic hypergeometric functions.
Responsibility: Annie Cuyt [and others] ; with contributions by Franky Backeljauw, Catherine Bonan-Hamada ; verified numerical output, Stefan Becuwe, Annie Cuyt.

Abstract:

This handbook is devoted to a systematic study of continued fraction representations for special functions. Only 10% of the continued fractions contained in this book, can also be found in the  Read more...

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From the reviews:"The book under review is to collect continued fractions for special functions in a friendly volume. ... There is no doubt that this book is very useful for the people who need to Read more...

 
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   schema:reviewBody ""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 and a large collection of papers have been devoted to these functions. 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 special functions websites!"--Jacket." ;
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