Calculation of generalized elliptic type integrals using the binomial expansion theorem

Mamedov B., Tapramaz R., MERDAN Z.

APPLIED MATHEMATICS AND COMPUTATION, vol.168, no.1, pp.333-341, 2005 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 168 Issue: 1
  • Publication Date: 2005
  • Doi Number: 10.1016/j.amc.2004.09.001
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.333-341
  • Keywords: radiation field, elliptic-type integrals, binomial coefficients, ASYMPTOTIC EXPANSIONS, RESIDUE THEORY, FAMILIES
  • Ondokuz Mayıs University Affiliated: No

Abstract

Approximate closed form expressions are developed for generalized elliptic type integrals using binomial coefficients. There are utilized to obtain closed form expressions for the Epstein-Hubbell (EH) generalized elliptic-type integral. Numerical test results are also reported. The convergence of series is tested by the concrete cases for values parameters. The formulae obtained are valid for arbitrary parameters' values. (c) 2004 Elsevier Inc. All rights reserved.