An-Najah University Journal for Research - A (Natural Sciences)

Certain Properties of Extended Mittag-Leffler-Type Function of Arbitrary Order

Article info

2025-11-14
2025-01-28
2025-02-09
None - None

Keywords

Abstract

In this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform. Furthermore, we establish fractional integral and differential perators associated with this extended Mittag-Leffler type function. Several interesting special cases of our main results are derived.

Certain Properties of Extended Mittag-Leffler-Type Function of Arbitrary Order
المؤلفون:

معلومات المقال

2025-11-14
2025-01-28
2025-02-09
None - None

الكلمات الإفتتاحية

الملخص

In this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform. Furthermore, we establish fractional integral and differential perators associated with this extended Mittag-Leffler type function. Several interesting special cases of our main results are derived.

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An-Najah University Journal for Research - A (Natural Sciences) by An-Najah University, Nablus, Palestine is licensed under CC BY-NC 4.0