Work

On the Domain of Analytical Continuation of the Ratios of Generalized Hypergeometric Functions 3F2

Year: 2025

Type: article

Abstract: The paper considers the problem of the analytical extension of the ratios of generalized hypergeometric functions F23 A new domain of analytic continuation for these ratios under certain conditions to parameters is established. In this case, the domain of analytic extension of the special function is the domain of convergence of its branched continued fraction expansion. This paper also provides an example of applying the obtained results to dilogarithm function.

Source: Axioms

DOI: 10.3390/axioms14120871

Authors: Roman Dmytryshyn, Marta Dmytryshyn, Sofiia Hladun

Institutions: Vasyl Stefanyk Carpathian National University, West Ukrainian National University, Lviv Polytechnic National University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Ministry of Education and Science of Ukraine