Symmetric and generating functions for some generalized polynomials

N. Saba; A. Boussayoud; M. Chelgham

doi:10.26637/MJM0804/0072

Abstract

In this paper, we define generalized Gaussian Padovan numbers, generalized Gaussian Padovan polynomials and generalized trivariate Fibonacci polynomials, we present the new generating functions of these generalizations, and as special cases, we investigate Gaussian Padovan numbers and polynomials, Gaussian Pell Padovan numbers and polynomials and trivariate Fibonacci and Lucas polynomials with their generating functions. Moreover, we give the new generating functions of some generalized Vieta polynomials.

Keywords:

Symmetric functions, generating functions, generalized Gaussian Padovan numbers, generalized trivariate Fibonacci polynomials, generalized Vieta-Pell polynomials, generalized Vieta-Jacobsthal polynomials

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

N. Saba LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.
A. Boussayoud LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria. https://orcid.org/0000-0001-5553-3240
M. Chelgham LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.

Pages: 1756-1765
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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