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