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Mathematical Functions and Their Approximations
Mathematical Functions and Their Approximations
Date: 13 April 2011, 03:47

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This book was written as an update to the well-known Handbook of Mathematical Functions by Abramowitz and Stegun. The purpose of the book is to provide polynomial and rational approximations to many of the special functions of interest. Many functions are analytically expanded in terms of Chebyshev (or other) polynomials, and numerical values for the coefficients are given to many (often 20) decimal places. If you are looking for a quick numerical procedure for a special function for which Luke provides the Chebyshev coefficients, then this book is very usefull. Such numerical values are provided for Bessel functions, integrals of Bessel functions, and Struve functions, among others. Recurrence relations are also discussed in detail.

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