Computation of special functions: By Shanjie Zhang and Jianming Jin. John Wiley & Sons, New York. (1996). 717 pages. $89.95

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 117 KB
• Volume: 32
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(96)90020-6

✦ Synopsis

Preface.

Acknowledgements.

List of computer programs. 1. Bernoulli and Euler numbers.

2. Orthogonal polynomials.

3. Gamma, beta, and psi functions. 4. Legendre functions. 5. Bessel functions. 6. Modiiìed Bessel functions. 7. Integrals of Bessel functions. 8. Spherical Bessel functions. 9. Kelvin functions. 10. Airy functions. ll. Struve functions. 12. Hypergeometric and confluent hypergeometric functions. 13. Parabolic cylinder functions. 14. Mathieu functions. 15. Spheroidal wave functions. 16. Error function and Fresnel integrals. 17. Coeine and sine integrals.

4. Elliptic integrals and Jacobian elliptic functions.

5. Exponential integrals. 20. Summary of methods for computing special functions. Appendices.

A. Derivation of some special differential equations. B. Root-finding methods. C. About the software. Index. Index of computer programs.