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Handbook of Continued Fractions for Special Functions

Authors: Cuyt, A.A.M., Petersen, V., Verdonk, B., Waadeland, H., Jones, W.B.

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  • A systematic study of continued fraction representations for special functions
  • Verified numerical illustrations of most continued fractions and special functions
  • Only 10% of the continued fractions in this book can be found in the NBS handbook or at the Wolfram website on special functions
  • Special functions are pervasive in all fields of science and industry
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eBook $89.00
price for USA in USD
  • ISBN 978-1-4020-6949-9
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  • Immediate eBook download after purchase
Hardcover $159.99
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  • ISBN 978-1-4020-6948-2
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Softcover $119.00
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  • ISBN 978-90-481-7775-2
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  • Usually dispatched within 3 to 5 business days.
About this book

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, namely 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!

Reviews

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 work with special functions. … The book is suitable for researchers in many fields, so that libraries serving scholars in basic sciences need to have it." (Mehdi Hassani, The Mathematical Association of America, September, 2008)

“The computation of a special function by its development into a continued fraction requires many steps, and that it needs a deep knowledge of theory and practice. The purpose of this handbook is to present the efforts in this direction made by a group of scientists from different universities who have collaborated in the project for many years. … I highly recommend this monograph, a masterpiece, to all those who are interested in continued fractions. It should be on the shelves of every library.” (Claude Brezinski, Journal of Approximation Theory, February, 2010)

Table of contents (19 chapters)

Table of contents (19 chapters)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-1-4020-6949-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-1-4020-6948-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $119.00
price for USA in USD
  • ISBN 978-90-481-7775-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Continued Fractions for Special Functions
Authors
Copyright
2008
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-6949-9
DOI
10.1007/978-1-4020-6949-9
Hardcover ISBN
978-1-4020-6948-2
Softcover ISBN
978-90-481-7775-2
Edition Number
1
Number of Pages
XVI, 431
Topics

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