Some New Generating Functions for the Modified Laguerre Polynomials

Authors

  • Nejla Özmen Department of Mathematics, Faculty of Science and Arts, D ¨uzce University, D ¨uzce, Turkey

DOI:

https://doi.org/10.4208/aamm.OA-2018-0267

Keywords:

Modified Laguerre polynomials, generating function, multilinear and multilateral generating function, recurrence relations, generalized Lauricella function.

Abstract

In this paper, we obtain some new results on bilateral generating functions of the modified Laguerre polynomials. We also get generating function relations between the modified Laguerre polynomials and the generalized Lauricella functions. Some special cases and important applications are also discussed.

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Published

2021-07-01

Issue

Vol. 11 No. 6 (2019)

Section

Articles