eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2022-11-04
Volume 31 (2023), Issue 1
10.46298/cm.10205
10205
journal article
On the matrix function $_pR_q(A, B; z)$ and its fractional calculus properties
Ravi Dwivedi
Reshma Sanjhira
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.
https://cm.episciences.org/10205/pdf
Mathematics - Classical Analysis and ODEs