Incomplete exponential type of $ R $-matrix functions and their properties

Ahmed Bakhet; Mohra Zayed; Ahmed Bakhet; Mohra Zayed

doi:10.3934/math.20231329

AIMS Mathematics

2023, Volume 8, Issue 11: 26081-26095. doi: 10.3934/math.20231329

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Incomplete exponential type of $ R $-matrix functions and their properties

Ahmed Bakhet ^{1
,
,},
Mohra Zayed ^{2
,
,}

1.
Department of Mathematics, Faculty of Science Al-Azhar University, Assiut 71524, Egypt
2.
Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

Received: 22 June 2023 Revised: 14 August 2023 Accepted: 27 August 2023 Published: 11 September 2023
MSC : 15A60, 33C05, 33C25, 33C45, 33D15

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.
- incomplete exponential functions,
- special functions,
- special matrix functions,
- R-matrix function,
- integral representation
Citation: Ahmed Bakhet, Mohra Zayed. Incomplete exponential type of $ R $-matrix functions and their properties[J]. AIMS Mathematics, 2023, 8(11): 26081-26095. doi: 10.3934/math.20231329

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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.

References

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