Computation of special functions
著者
書誌事項
Computation of special functions
Wiley, c1996
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注記
"A Wiley-Interscience publication."
Includes bibliographical references and indexes
内容説明・目次
内容説明
Deals with the automatic computation of special functions which appear in all areas of engineering and the physical sciences. Contains over 100 computer programs written by the authors and describes the algorithms to provide readers with specific information about each individual program. Consisting of three sections, the first one presents an introduction to the special function to be dealt with, its major properties, and several formulas needed for its computation. The second segment features algorithms for computing the special function and the related quantities and lists corresponding Fortran-77 programs. The final part tabulates representative results to offer a quick outlook on the function's behavior and to check the computed results. The accompanying disk contains all the computer programs discussed in the text.
目次
- Bernoulli and Euler Numbers
- Orthogonal Polynomials
- Gamma, Beta, and Psi Functions
- Legendre Functions
- Bessel Functions
- Modified Bessel Functions
- Integrals of Bessel Functions
- Spherical Bessel Functions
- Kelvin Functions
- Airy Functions
- Struve Functions
- Hypergeometric and Confluent Hypergeometric Functions
- Parabolic Cylinder Functions
- Mathieu Functions
- Spheroidal Wave Functions
- Error Function and Fresnel Integrals
- Cosine and Sine Integrals
- Elliptic Integrals and Jacobian Elliptic Functions
- Exponential Integrals
- Summary of Methods for Computing Special Functions
- Appendices
- Indexes.
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