Numerical computations of infinite products

Adel K. Ibrahim, Medhat A. Rakha

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)271-283
Number of pages13
JournalApplied Mathematics and Computation
Volume161
Issue number1
DOIs
Publication statusPublished - Feb 4 2005

Fingerprint

Infinite product
Numerical Computation
Gamma function
Hypergeometric Functions
Interpolate
Interpolation
Evaluation

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Numerical computations of infinite products. / Ibrahim, Adel K.; Rakha, Medhat A.

In: Applied Mathematics and Computation, Vol. 161, No. 1, 04.02.2005, p. 271-283.

Research output: Contribution to journalArticle

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