Certain Aspects of Mittag-Leffler Functions in Kober Operator
Sethukumarasamy K1, Ambrose Prabhu R2, Vijayaraju P3, Bhaskaran S4
1Sethukumarasamy K, Department of Mathematics, Anna University, Chennai, Tami Nadu, India.
2Ambrose Prabhu R, Department of Science and Humanities, Saveetha School of Engineering, Chennai, Tamil Nadu, India
3Vijayaraju P, Department of Mathematics, Anna University, Chennai, Tamil Nadu, India.
4Bhaskaran S, Department of Science and Humanities, Saveetha School of Engineering, Chennai, Tamil Nadu, India.
Manuscript received on October 17, 2019. | Revised Manuscript received on 22 October, 2019. | Manuscript published on November 10, 2019. | PP: 3295-3297 | Volume-9 Issue-1, November 2019. | Retrieval Number: A9174119119/2019©BEIESP | DOI: 10.35940/ijitee.A9174.119119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Motivated by the triumph of the applications of Mittag-Leffler functions in various fields of engineering sciences, we present the effect ofg Kober operator and extended Kober operator of first kind on the Mittag-Leffler function with three parameters (z). An effort has been made to investigate the properties of (z) due to application of Kober fractional integral operator of the first kind of order We also provide certain results pertaining to the special cases of in the extended Kober operator of first kind.
Keywords: Primary 33E12, 26A33 Mittag-Leffler function, Kober operator, Fractional Integral Operator
Scope of the Article: Logic, Functional programming