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Mathematics of Computation

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Tau method approximation
of a generalized Epstein-Hubbell
elliptic-type integral

Author: H. G. Khajah
Journal: Math. Comp. 68 (1999), 1615-1621
MSC (1991): Primary 33C65, 41A10; Secondary 65D20
Published electronically: March 4, 1999
MathSciNet review: 1651763
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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.

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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

Keywords: Tau method approximation, elliptic-type integrals, hypergeometric functions
Received by editor(s): May 16, 1998
Published electronically: March 4, 1999
Article copyright: © Copyright 1999 American Mathematical Society