On The Mittag-Leffler Polynomials and Deformed Mittag-Leffler Polynomials
Abstract
The present study deals with some new properties for the Mittag-Leffler polynomials and the deformed Mittag-Leffler polynomials. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties and also some special cases for these polynomials.
Keywords
References
- [1] H.M. Srivastava and H.L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1984.
- [2] G. Mittag-Leffler, Sur la repr´esentasion analytique des int´egrales et des invariants d’une ´equation diff´erentielle lin´eaire et homog´ene, Acta Math., 15 (1891), 1-32.
- [3] H. Bateman, The polynomial of Mittag–Leffler, Proc N.A.S. 26 (1940), 491-496.
- [4] H. Bateman, An orthogonal property of the hypergeometric polynomial, Proc N.A.S. 28 (1942), 374-377.
- [5] M.S. Stankovi´c, S.D. Marinkovi´c, P.M. Rajkovi´c, Deformed exponential functions of two variables, ArXiv 1005.5040v1, May 27, 2010. http://arxiv.org/abs/1005.5040v1.
- [6] S. Roman,The umbral calculus, Dover Publ. Inc. New York, 2005.
- [7] T.X. He, L.C. Hsu, P.J.-S. Shiue, The Sheffer group and the Riordan group, Discrete Applied Mathematics 155 (2007), 1895-1909.
- [8] A. Luzon, M.A. Moron, Recurrence relations for polynomial sequences via Riordan matrices, Linear Algebra and its Applications, 433 (2010), 1422-1446.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
October 15, 2019
Submission Date
June 15, 2019
Acceptance Date
July 18, 2019
Published in Issue
Year 2019 Volume: 7 Number: 2
