Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
نویسندگان
چکیده
Abstract Derivatives with respect to the parameters of integral Mittag-Leffler function and Wright function, recently introduced by us, are calculated. These derivatives can be expressed in form infinite sums quotients digamma gamma functions. In some particular cases, these calculated closed-form help MATHEMATICA. However, parameter differentiation reduction formulas explicitly derived order check results given MATHEMATICA, as well provide many other new results. addition, we present graphically for values parameters. Finally, functions reported Appendices.
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ژورنال
عنوان ژورنال: Fractional Calculus and Applied Analysis
سال: 2023
ISSN: ['1311-0454', '1314-2224']
DOI: https://doi.org/10.1007/s13540-023-00142-7