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Tau method approximation of a generalized Epstein-Hubbell elliptic-type integral
Author(s):
H.
G.
Khajah.
Journal:
Math. Comp.
68
(1999),
1615-1621.
MSC (1991):
Primary 33C65, 41A10;
Secondary 65D20
Posted:
March 4, 1999
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Abstract:
We consider the evaluation of a recent generalization of the Epstein-Hubbell elliptic-type integral using the tau method approximation with a Chebyshev polynomial basis. This also leads to an approximation of Lauricella's hypergeometric function of three variables. Numerical results are given for polynomial approximations of degree 6.
References:
- 1.
- A. Al-Zamel and S. Kalla. Epstein-Hubbell elliptic-type integral and its generalizations. Appl. Math. Comp., 77:9-32, 1996. MR 97c:33017
- 2.
- L.F. Epstein and J.H. Hubbell. Evaluation of a generalized elliptic-type integral. J. Res. NBS, 67B:1-17, 1963. MR 28:4152
- 3.
- H. Exton. Multiple Hypergeometric Functions and Applications. Ellis Horwood Ltd., New York, 1976. MR 54:10699
- 4.
- M.L. Glasser and S.L. Kalla. Recursion relations for a class of generalized elliptic-type integrals. Rev. Tec. Ing. Univ. Zulia, 12:47-50, 1989. MR 91b:33024
- 5.
- J.H. Hubbell, R.L. Bach, and R.J. Herbold. Radiation field from a circular disk source. J. Res. NBS, 65C:249-264, 1961.
- 6.
- S.L. Kalla, S. Conde, and J.H. Hubbell. Some results on generalized elliptic-type integrals. Appl. Anal., 22:273-287, 1986. MR 88a:33002
- 7.
- S.L. Kalla, C. Leubner, and J.H. Hubbell. Further results on generalized elliptic-type integrals. Appl. Anal., 25:269-274, 1987. MR 88i:33002
- 8.
- S.L. Kalla and V.K. Tuan. Asymptotic formulas for generalized elliptic-type integrals. In Proc. of the Intl. Wkshp. on Recent Advances in Applied Maths., Kuwait, 1996. Kuwait Univ. - KFAS.
- 9.
- C. Lanczos. Trigonometric interpolation of empirical and analytical functions. J. Math. Phys., 17:123-199, 1938.
- 10.
- C. Lanczos. Applied Analysis. Prentice-Hall, New Jersey, 1956. MR 15:823c
- 11.
- E.L. Ortiz. The Tau Method. SIAM J. Numer. Anal., 6:480-492, 1969. MR 41:2934
- 12.
- E.L. Ortiz. Canonical polynomials in the Lanczos' Tau Method. In B.K.P. Scaife, editor, Studies in Numerical Analysis, pages 73-93. Academic Press, New York, 1974. MR 57:14478
- 13.
- Wolfram Research, Inc. Mathematica. Wolfram Research, Inc., Champaign, Illinois, 1994. Version 2.2.
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Additional Information:
H.
G.
Khajah
Affiliation:
Applied Sciences Department, College of Technical Studies -- Paaet, P.O. Box 66814, Bayan 43759, Kuwait
Email:
hkhajah@kuc01.kuniv.edu.kw
DOI:
10.1090/S0025-5718-99-01128-X
PII:
S 0025-5718(99)01128-X
Keywords:
Tau method approximation,
elliptic-type integrals,
hypergeometric functions
Received by editor(s):
May 16, 1998
Posted:
March 4, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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