Generating functions for generalized tribonacci and generalized tricobsthal polynomials

Nejla Özmen; Arzu Özkoç Öztürk

doi:10.26637/mjm1003/008

Abstract

In this work, we consider generating functions which are generalized tribonacci polynomials $T_{n}(x)$ and generalized tricobsthal polynomials $J_{n}(x)$ which are defined in [7]. We derive generating functions for $(m+n)$-th order of generalized tribonacci polynomials and generalized tricobsthal polynomials for $m\ge 2$. Furthermore, we obtain various families of bilinear and bilateral generating functions and give their special cases for these polynomials. Also, we obtain the summation formula of generalized tribonacci polynomials and generalized tricobsthal polynomials.

Keywords:

generalized tricobsthal, generalized tribonacci polynomials, bilinear and bilateral generating functions

Mathematics Subject Classification:

11B83, 11C08, 33C45.

Authors Imprint References Funding Related Articles Downloads

Nejla Özmen Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey.
Arzu Özkoç Öztürk Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey. https://orcid.org/0000-0002-2196-3725

Pages: 267-279
Date Published: 01-07-2022
Vol. 10 No. 03 (2022): Malaya Journal of Matematik (MJM)

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