Work

On the analytic extension of the Horn's hypergeometric function $H_4$

Year: 2024

Type: article

Abstract: The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function $H_4$ with real and complex parameters. These domains enabled the PC method to establish the analytical extension of analytical functions to their expansions in the studied domains of convergence. A few examples are provided at the end to illustrate this.

Source: Carpathian Mathematical Publications

DOI: 10.15330/cmp.16.1.32-39

Authors: R. Dmytryshyn, I.-A. Lutsiv, M. Dmytryshyn

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

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4393130643

FWCI: 6.391

Cites: 34

Cited by: 20

Related to: 10