10.46298/cm.10205
https://cm.episciences.org/10205
Dwivedi, Ravi
Ravi
Dwivedi
Sanjhira, Reshma
Reshma
Sanjhira
On the matrix function $_pR_q(A, B; z)$ and its fractional calculus properties
The main objective of the present paper is to introduce and study the
function $_pR_q(A, B; z)$ with matrix parameters and investigate the
convergence of this matrix function. The contiguous matrix function relations,
differential formulas and the integral representation for the matrix function
$_pR_q(A, B; z)$ are derived. Certain properties of the matrix function
$_pR_q(A, B; z)$ have also been studied from fractional calculus point of view.
Finally, we emphasize on the special cases namely the generalized matrix
$M$-series, the Mittag-Leffler matrix function and its generalizations and some
matrix polynomials.
episciences.org
Mathematics - Classical Analysis and ODEs
Attribution 4.0 International (CC BY 4.0)
2022-10-25
2022-11-04
2022-11-04
eng
journal article
arXiv:2210.12354
10.48550/arXiv.2210.12354
2336-1298
https://cm.episciences.org/10205/pdf
VoR
application/pdf
Communications in Mathematics
Volume 31 (2023), Issue 1
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