Handbook Of Continued Fractions For Special Functions


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Handbook of Continued Fractions for Special Functions


Handbook of Continued Fractions for Special Functions

Author: Annie A.M. Cuyt

language: en

Publisher: Springer Science & Business Media

Release Date: 2008-04-12


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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!

Numerical Methods for Special Functions


Numerical Methods for Special Functions

Author: Amparo Gil

language: en

Publisher: SIAM

Release Date: 2007-01-01


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An overview that advises when to use specific methods depending upon the function and range.

Special Functions


Special Functions

Author: Nico M. Temme

language: en

Publisher: John Wiley & Sons

Release Date: 1996-02-22


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This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.