Computation of special functions

Bibliographic Information

Computation of special functions

Shanjie Zhang, Jianming Jin

Wiley, c1996

Available at  / 17 libraries

Search this Book/Journal

Note

"A Wiley-Interscience publication."

Includes bibliographical references and indexes

Description and Table of Contents

Description

Deals with the automatic computation of special functions which appear in all areas of engineering and the physical sciences. Contains over 100 computer programs written by the authors and describes the algorithms to provide readers with specific information about each individual program. Consisting of three sections, the first one presents an introduction to the special function to be dealt with, its major properties, and several formulas needed for its computation. The second segment features algorithms for computing the special function and the related quantities and lists corresponding Fortran-77 programs. The final part tabulates representative results to offer a quick outlook on the function's behavior and to check the computed results. The accompanying disk contains all the computer programs discussed in the text.

Table of Contents

  • 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.

by "Nielsen BookData"

Details

  • NCID
    BA2867147X
  • ISBN
    • 0471119636
  • LCCN
    95049544
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xxvi, 717 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
Page Top