Certain Properties of Konhauser Polynomial via Generalized Mittag-Leffler Function
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Abstract
The principal aim of this paper is to establish several new properties of generalized Mittag-Leffler function via Konhauser polynomials. Properties like mixed recurrence relations, Differential equations, pure recurrence relations, finite summation formulae, and Laplace transform have been obtained.
Keywords
Konhauser polynomials Generalized Mittag-Leffler function Laguerre polynomials Laplace transformAMS(2010) Subject Classification
33E12 33C45 33C47Notes
Acknowledgements
This work was supported to third author [S Jain] by the Science & Engineering Research Board (SERB), India (No: MTR/2017/000194) and fifth author’s [P Agarwal] research grant is supported by the Department of Science & Technology(DST), India (No: INT/RUS/RFBR/P-308) and Science & Engineering Research Board (SERB), India (No: TAR/2018/000001).
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