Computation of Special Functions

SHANJIE ZHANG is a professor in the Department of Electronic Science and Engineering at Nanjing University in China. His principal research interests include electromagnetic theory, micro--wave antennas, computational electromagnetics, and special functions in mathematical physics. He is a member of the Chinese Institute of Electronics, the Chinese Physical Society, and the Institute of Electrical and Electronics Engineers (IEEE). Professor Zhang is the author of more than 30 published articles and a textbook on numerical methods. JIANMING JIN, PhD, joined the faculty of the Department of Electrical and Computer Engineering at the University of Illinois at Urbana--Champaign in 1993, after working as a senior scientist at Otsuka Electronics, Inc., USA. He is a recipient of the National Science Foundation Young Investigator Award and the Office of Naval Research Young Investigator Award. He is a senior member of the IEEE and a member of the U.S. National Committee of the International Radio Science Union and the Society of Magnetic Resonance. Professor Jin is the author of more than 40 published articles on computational electromagnetics, electromagnetic theory, and magnetic resonance imaging, and the first comprehensive textbook on the finite element method for electromagnetic analysis, The Finite Element Method in Electromagnetics, also available from Wiley.

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.