
NIST Handbook of Mathematical Functions
by Edited by Frank W. J. Olver , Daniel W. Lozier , Ronald F. Boisvert , Charles W. Clark-
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Summary
Author Biography
Daniel W. Lozier leads the Mathematical Software Group in the Mathematical and Computational Sciences Division of NIST. In his capacity as General Editor of the Digital Library of Mathematical Functions Project, he has performed most of the administrative functions associated with the project as well as contributing technically. He is an active member of the SIAM Activity Group on Orthogonal Polynomials and Special Functions, having served two terms as chair, one as vice-chair, and currently as secretary. He has been an editor of Mathematics of Computation and the NIST Journal of Research.
Ronald F. Bolsvert leads the Mathematical and Computational Sciences Division of the Information Technology Laboratory at NIST. He received his Ph.D. in computer science from Purdue University in 1979 and has been at NIST since then. He has served as editor-in-chief of the ACM Transactions on Mathematical Software. He is currently co-chair of the Publications Board of the Association for Computing Machinery (ACM) and chair of the International Federation for Information Processing (IFIP) Working Group 2.5 (Numerical Software)
Charles W. Clark received his Ph.D. in physics from the University of Chicago in 1979. He is a member of the U.S. Senior Executive Service and is Chief of the Electron and Optical Physics Division and acting Group Leader of the NIST Synchrotron Ultraviolet Radiation Facility (SURF III). Clark serves as Program Manager for Atomic and Molecular Physics at the U.S. Office of Naval Research and is a Fellow of the Joint Quantum Institute of NIST and the University of Maryland at College Park and a Visiting Professor at the National University of Singapore.
Table of Contents
Algebraic and analytic methods Ranjan Roy | |
Asymptotic approximations Frank | |
Numerical methods | |
Elementary functions | |
Gamma function Richard | |
Exponential, logarithmic, sine and cosine integrals | |
Error functions, Dawson's and Fresnel integrals | |
Incomplete gamma and related functions | |
Airy and related functions | |
Bessel functions | |
Struve and related functions | |
Parabolic cylinder functions | |
Confluent hypergeometric functions | |
Legendre and related functions | |
Hypergeometric function Adri | |
Generalized hypergeometric functions and Meijer G-function Richard | |
q-Hypergeometric and related functions | |
Orthogonal polynomials | |
Elliptic integrals | |
Theta functions | |
Multidimensional theta functions | |
Jacobian elliptic functions | |
Weierstrass elliptic and modular functions | |
Bernoulli and Euler polynomials | |
Zeta and related functions | |
Combinatorial analysis | |
Functions of number theory | |
Mathieu functions and Hill's equation | |
Lamé functions | |
Spheroidal wave functions | |
Heun functions Brian | |
Painlevé transcendents | |
Coulomb functions | |
3j,6j,9j symbols | |
Functions of matrix argument | |
Integrals with coalescing saddles Michael | |
Table of Contents provided by Publisher. All Rights Reserved. |
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