Certain Properties of Konhauser Polynomial via Generalized Mittag-Leffler Function
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.
KeywordsKonhauser polynomials Generalized Mittag-Leffler function Laguerre polynomials Laplace transform
AMS(2010) Subject Classification33E12 33C45 33C47
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).