Matrix analog of a new class of hypergeometric functions

Shilpi Jain; Praveen Agarwal

doi:10.1016/B978-0-44-336484-6.00010-2

Matrix analog of a new class of hypergeometric functions

Shilpi Jain
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
International College of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this chapter, we establish the matrix analog of a new class of hypergeometric functions Gqη,ζ,m,ξp(z) and obtain some of its important properties, in particular, the differential property, integral representation, derivative formula, and finite summation formulae. We also derived the matrix analogs that exist between the matrix analog of a new class of hypergeometric function Gqη,ζ,m,ξp(z) with the matrix analogs of special functions.

Original language	English
Title of host publication	Extended Hypergeometric Functions and Orthogonal Polynomials
Publisher	Elsevier
Pages	13-29
Number of pages	17
ISBN (Electronic)	9780443364846
ISBN (Print)	9780443364853
DOIs	https://doi.org/10.1016/B978-0-44-336484-6.00010-2
State	Published - 1 Jan 2026

Keywords

Gamma and beta matrix function
Generalized hypergeometric matrix function
Matrix functional calculus

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10.1016/B978-0-44-336484-6.00010-2

Cite this

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KW - Matrix functional calculus

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ER -

Matrix analog of a new class of hypergeometric functions

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Keywords

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