Special Functions References and Further Reading - GNU Scientific Library -- Reference Manual
Description: GNU Scientific Library -- Reference Manual

Previous: Special Functions Examples, Up: Special Functions

### 7.34 References and Further Reading

The library follows the conventions of Abramowitz & Stegun where possible,

- Abramowitz & Stegun (eds.), Handbook of Mathematical Functions

The following papers contain information on the algorithms used to compute the special functions,

- Allan J. MacLeod, MISCFUN: A software package to compute uncommon special functions. ACM Trans. Math. Soft., vol. 22, 1996, 288–301
- G.N. Watson, A Treatise on the Theory of Bessel Functions, 2nd Edition (Cambridge University Press, 1944).
- G. Nemeth, Mathematical Approximations of Special Functions, Nova Science Publishers, ISBN 1-56072-052-2
- B.C. Carlson, Special Functions of Applied Mathematics (1977)
- N. M. Temme, Special Functions: An Introduction to the Classical Functions of Mathematical Physics (1996), ISBN 978-0471113133.
- W.J. Thompson, Atlas for Computing Mathematical Functions, John Wiley & Sons, New York (1997).
- Y.Y. Luke, Algorithms for the Computation of Mathematical Functions, Academic Press, New York (1977).

The GNU Scientific Library - a free numerical library licensed under the GNU GPL
Back to the GNU Scientific Library Homepage