Work

Some Families of the Eulerian Integrals Involving Generalized Hypergeometric Functions

Year: 2025

Type: article

Abstract: In this paper, we established a family of unified Eulerian integrals involving generalized hypergeometric function by employing generalized summation theorems for the series $_{3}F_{2}$ such as generalized Watson's theorem, generalized Dixon's theorem and generalized Whipple's theorem. Various special cases are deduced as consequences of our main theorems.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.77982

Authors: Shoukat Ali, Deepak Kumar, Subrat Parida, Sunil Dutt Purohit

Institutions: Pondicherry University, Rajasthan Technical University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7214519607

FWCI:

Cites: 10

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Related to: 10