Article

Analytic Continuation Formula for a Confluent Hypergeometric Function $$\boldsymbol{\mathbb{E}_{1}}$$ of Three Arguments

A. HasanovGhent University, Ghent, BelgiumT. K. YuldashevOsh State University, 723500, Osh, Kyrgyzstan

Lobachevskii Journal of Mathematicsjournal2025en

ABI

Abstract

In this paper, for the confluent hypergeometric function $$\mathbb{E}_{1}$$ of three arguments, some new formulas of analytical continuation are derived. In this case, the methods of complex analysis are applied. Moreover, in obtaining the new formulas, the Srivastava function is used.

Topics

Mathematical functions and polynomials Mathematical Inequalities and Applications Fractional Differential Equations Solutions

Identifiers

DOI: 10.1134/s199508022561255x

Citations and references

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