Numerical computations of infinite products

Adel K. Ibrahim; Medhat A. Rakha

doi:10.1016/j.amc.2003.12.027

Numerical computations of infinite products

Adel K. Ibrahim, Medhat A. Rakha^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The infinite product π_n=0^∞(1-aqⁿ) plays a part in the theory of basic functions, similar to that of the Gamma function in the theory of ordinary hypergeometric functions, so it is pertinent to enquire how such products can be evaluated numerically. In this paper we will discuss the numerical evaluation of the infinite products using the method of gridded data interpolation.

Original language	English
Pages (from-to)	271-283
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	161
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2003.12.027
Publication status	Published - Feb 4 2005

Keywords

Infinite products
Integral transformations
Q-beta integrals
Q-products
Q-series

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2003.12.027

Cite this

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AB - The infinite product πn=0∞(1-aqn) plays a part in the theory of basic functions, similar to that of the Gamma function in the theory of ordinary hypergeometric functions, so it is pertinent to enquire how such products can be evaluated numerically. In this paper we will discuss the numerical evaluation of the infinite products using the method of gridded data interpolation.

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KW - Integral transformations

KW - Q-beta integrals

KW - Q-products

KW - Q-series

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Numerical computations of infinite products

Abstract

Keywords

ASJC Scopus subject areas

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