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).
• S. A. Holmes and W. E. Featherstone, A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions, Journal of Geodesy, 76, pg. 279-299, 2002.