English

Mathieu-type series built by $(p, q)$-extended Gaussian hypergeometric function

Classical Analysis and ODEs 2016-04-19 v1

Abstract

The main purpose of this paper is to present closed integral form expressions for the Mathieu-type a\boldsymbol a-series and its associated alternating version whose terms contain a (p,q)(p, q)-extended Gauss' hypergeometric function. Certain upper bounds for the two series are also given.

Keywords

Cite

@article{arxiv.1604.05077,
  title  = {Mathieu-type series built by $(p, q)$-extended Gaussian hypergeometric function},
  author = {Junesang Choi and Rakesh K. Parmar and Tibor K. Pogány},
  journal= {arXiv preprint arXiv:1604.05077},
  year   = {2016}
}
R2 v1 2026-06-22T13:34:41.892Z