SEVERAL NEW CLOSED-FORM EVALUATIONS OF THE GENERALIZED HYPERGEOMETRIC FUNCTION WITH ARGUMENT(Formula Presented)

B. R.Srivatsa Kumar, Insuk Kim, Arjun K. Rathie

Research output: Contribution to journalArticlepeer-review

Abstract

The main objective of this paper is to establish as many as thirty new closedform evaluations of the generalized hypergeometric function q+1Fq(z) for q = 2, 3, 4. This is achieved by means of separating the generalized hypergeometric function q+1Fq(z) for q = 1, 2, 3, 4, 5 into even and odd components together with the use of several known infinite series involving central binomial coefficients obtained earlier by Ji and Hei & Ji and Zhang

Original languageEnglish
Article number7
JournalAustralian Journal of Mathematical Analysis and Applications
Volume19
Issue number1
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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