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September 10, 2025An-Najah University Journal for Research - A (Natural Sciences)Open Access

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

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Authors

MBMaged Bin-SaadJYJihad Younis

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Overview

New equations define the Mittag-Leffler function, showcasing recurrence relations and transforms.

Key Points

  • New definitions of the extended mittag-leffler function unveil various crucial properties.
  • Key findings include recurrence relations and differential formulas vital for advanced mathematics.
  • Integral representations alongside laplace and mellin transforms expand the function's applications.
  • The study's implications include establishing fractional integral and differential operators connected to this function.

Cite This Study

Bin-Saad et al. (2025) studied this question.

synapsesocial.com/papers/68c1ac0154b1d3bfb60e460bhttps://doi.org/10.35552/anujr.a.40.1.2371
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1A study of generalized Mittag-Leffler-type function of arbitrary order2025 · 2 citations
  2. 2Some Integral Representations, Transformations, and Differential Relations for Mittag-Leffler Function of Double Variables2024
  3. 3Mittag‐Leffler type functions of three variables2024 · 5 citations
  4. 4On a Generalized Mittag-Leffler Function and Fractional Integrals2024 · 3 citations
  5. 5Geometric properties of an integral operator associated with Mittag-Leffler functions2024