Abstract
In this paper, we address a matrix analog of the four‐parameter Mittag‐Leffler function and demonstrate its convergence on . Some properties, such as integral representations, derivative formulae, and finite summation formulae, have been determined. Additionally, we provide the addition and multiplication formulas for the addition and multiplication of two arguments of the four‐parameter Mittag‐Leffler matrix function. Further, we discuss the composition of generalized fractional calculus operators with respect to a function with the four‐parameter Mittag‐Leffler matrix function.
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