English

Some summation theorems for Clausen's hypergeometric functions with unit argument

Classical Analysis and ODEs 2018-06-22 v1

Abstract

Motivated by the work on hypergeometric summation theorems (recorded in the table III of Prudnikov et al. pp. 541-546), we have established some new summation theorems for Clausen's hypergeometric functions with unit argument in terms of π\pi and natural logarithms of some rational and irrational numbers. Also, we have given some modified summation theorems for Clausen's hypergeometric functions.

Keywords

Cite

@article{arxiv.1806.07949,
  title  = {Some summation theorems for Clausen's hypergeometric functions with unit argument},
  author = {M. I. Qureshi and Mohd Shadab},
  journal= {arXiv preprint arXiv:1806.07949},
  year   = {2018}
}

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R2 v1 2026-06-23T02:36:34.220Z