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Research Article | Open Access

Incomplete exponential type of R-matrix functions and their properties

Department of Mathematics, Faculty of Science Al-Azhar University, Assiut 71524, Egypt
Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia
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Abstract

In the present paper, we establish the incomplete exponential type (IEF) of R-matrix functions and identify some properties of the incomplete exponential matrix functions including integral representation, some derivative formula and generating functions of the incomplete exponential of R-matrix functions. Finally, special cases of the presented results are pointed out.

Keywords

incomplete exponential functionsspecial functionsspecial matrix functionsR-matrix functionintegral representation
CLC number: 15A60, 33C05, 33C25, 33C45, 33D15

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26081-26095
DOI: 10.3934/math.20231329

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Cite this article:
Bakhet A, Zayed M. Incomplete exponential type of R-matrix functions and their properties. AIMS Mathematics, 2023, 8(11): 26081-26095. https://doi.org/10.3934/math.20231329

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Received: 22 June 2023
Revised: 14 August 2023
Accepted: 27 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)