- Grandparent: 0. Numerical Evaluation of Special Functions
- Parent: 5. Functions of Two or More Variables
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**D. W. Lozier and F. W. J. Olver**

** 5.12. Struve and Anger-Weber Functions
. **

5.12.1. * Struve Functions or Integrals of Struve Functions. *

Algorithms:

[** Luk69b**]
,
[** Luk75**]
,
[** Mac93**]
,
[** New84**]
.

Intermediate Libraries:

[** Bak92**]
,
[** Mos89**]
,
[** ULI90**]
.

5.12.2. * Integrals of Anger-Weber Functions. *

Intermediate Libraries:

[** Bak92**]
.

5.12.3. * Articles. *

[** Zan75**]
.

**Bak92**-
L. Baker,
*C mathematical function handbook*, McGraw-Hill, Inc., New York, 1992, includes diskette. **Luk69**-
Y. L. Luke,
*The special functions and their approximations*, vol. 2, Academic Press, New York, 1969. **Luk75**-
Y. L. Luke,
*Mathematical functions and their approximations*, Academic Press, New York, 1975. **Mac93**-
A. J. MacLeod,
*Chebyshev expansions for modified Struve and related functions*, Math. Comp.**60**(1993), 735--747. **Mos89**-
S. L. B. Moshier,
*Methods and programs for mathematical functions*, Ellis Horwood Limited, Chichester, 1989, separate diskette. **New84**-
J. N. Newman,
*Approximations for the Bessel and Struve functions*, Math. Comp.**43**(1984), 551--556. **ULI90**-
*Mathematical function library for Microsoft--C*, United Laboratories, Inc., John Wiley & Sons, 1990, includes diskettes. Edition also exists in Fortran (1989). **Zan75**-
R. Zanovello,
*Sul calcolo numerico della funzione di Struve*, Rend. Sem. Mat. Univ. Politec. Torino**32**(1975), 251--269.

The original abstract follows.

*
Higher transcendental functions continue to play varied and
important roles in investigations by engineers, mathematicians,
scientists and statisticians.
The purpose of this paper is to assist in locating useful approximations
and software for the numerical generation of these functions, and to
offer some suggestions for future developments in this field.
*

Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, Md 20899

* E-mail address: dlozier@nist.gov*

Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742

* E-mail address: olver@bessel.umd.edu*

The research of the second author has been supported by NSF Grant CCR 89-14933.

1991 * Mathematics Subject Classification*. Primary 65D20;
Secondary 33-00.

Fri Apr 7 14:23:32 EDT 1995