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The New Mittag-Leffler Function and Its Applications

وظيفة Mittag - Leffler الجديدة وتطبيقاتها
Authors: Gauhar Rahman; Shahid Mubeen; U. Ayub; Thabet Abdeljawad; Thabet Abdeljawad; Thabet Abdeljawad; Kottakkaran Sooppy Nisar;

The New Mittag-Leffler Function and Its Applications

Abstract

In this paper, we investigate some properties of the Pochhammer p , s , k -symbol ξ n , k , s p and gamma p , s , k -function Γ s , k p ξ . We then prove several identities for newly defined symbol ξ n , k , s p and the function Γ s , k p ξ . The integral representations for the gamma p , s , k -function and beta p , s , k -function are presented. Also, we define a new Mittag-Leffler p , s , k -function and study its analytic properties and its transforms.

Keywords

Chaos-based Image Encryption Techniques, Chaos Synchronization and Control in Complex Systems, Statistical and Nonlinear Physics, Physics and Astronomy, Compressive Sensing, Modeling and Simulation, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, Computer Vision and Pattern Recognition, Anomalous Diffusion Modeling and Analysis, Mathematics

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
gold