Work

Beyond the Beta Integral Method: Transformation Formulas for Hypergeometric Functions via Meijer’s G Function

Year: 2022

Type: article

Abstract: The beta integral method proved itself as a simple but nonetheless powerful method for generating hypergeometric identities at a fixed argument. In this paper, we propose a generalization by substituting the beta density with a particular type of Meijer’s G function. By the application of our method to known transformation formulas, we derive about forty hypergeometric identities, the majority of which are believed to be new.

Source: Symmetry

DOI: 10.3390/sym14081541

Authors: Dmitrii Karp, Elena Prilepkina

Institutions: Holon Institute of Technology, Far Eastern Federal University, Institute of Applied Mathematics

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,885

Funder: Ministry of Science and Higher Education of the Russian Federation