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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Tau method approximation of a generalized Epstein-Hubbell elliptic-type integral
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by H. G. Khajah PDF
Math. Comp. 68 (1999), 1615-1621 Request permission

Abstract:

We consider the evaluation of a recent generalization of the Ep- stein-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
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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
  • Received by editor(s): May 16, 1998
  • Published electronically: March 4, 1999
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 1615-1621
  • MSC (1991): Primary 33C65, 41A10; Secondary 65D20
  • DOI: https://doi.org/10.1090/S0025-5718-99-01128-X
  • MathSciNet review: 1651763