An analytic method for convergence acceleration of certain hypergeometric series-Reference-Cited by-同舟云学术

An analytic method for convergence acceleration of certain hypergeometric series

Published:1995 Issue:210 Volume:64 Page:691-713
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Lewanowicz Stanisław,Paszkowski Stefan

Abstract

A method is presented for convergence acceleration of the generalized hypergeometric series 3 F 2 _3{F_2} with the argument ± 1 \pm 1 , using analytic properties of their terms. Iterated transformation of the series is performed analytically, which results in obtaining new fast converging expansions for some special functions and mathematical constants.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1995-64-210/S0025-5718-1995-1277769-6/S0025-5718-1995-1277769-6.pdf

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4. A. Erdélyi (ed.), Higher transcendental functions, McGraw-Hill, New York, 1953.

5. I. S. Gradshteyn and I. M. Ryzhik, Tables of integrals, series and products, Academic Press, New York, 1980.

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