摘要：In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involving the Appell function F 3 ( ⋅ ) $F_"(\cdot)$ and results in terms of the Wright generalized hypergeometric-type function ψ n + 1 ( { κ l } l ∈ N 0 ) m + 1 ( z ; p ) ${}_{m+1}\psi^{(\{\kappa_{l}\}_{l\in\mathbb{N}_(} )}_{n+1}(z; p)$ recently established by Agarwal. Some interesting special cases are also pointed out.
关键词：generalized Gamma function ; generalized beta functions ; generalized Mittag-Leffler function ; generalized Wright hypergeometric function ; fractional derivative operators
