Distribution evaluation of hypergeometric series
Ming Hao Zhao
TL;DR
This paper evaluates various high-weight hypergeometric series using advanced mathematical functions and distribution relations, providing insights into their properties and interrelations.
Contribution
It introduces new methods for evaluating hypergeometric series through Gamma, polylogarithm, and elliptic integrals, focusing on distribution relations.
Findings
Explicit evaluations of hypergeometric series
Connections between hypergeometric series and special functions
Enhanced understanding of series distribution properties
Abstract
We evaluate several classes of high weight hypergeometric series via Gamma, polylogarithm and elliptic integrals, mainly through distribution relations.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical functions and polynomials