Generating Functions of Binary Products of Tribonacci and Tribonacci Lucas Polynomials and Special Numbers

Merzouk, Hind; Boussayoud, Ali; Kanuri, Kasi Viswanadh V.

doi:10.34198/ejms.8222.237262

EJMS

2022

DOI: 10.34198/ejms.8222.237262

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Generating Functions of Binary Products of Tribonacci and Tribonacci Lucas Polynomials and Special Numbers

Hind Merzouk

Ali Boussayoud

Kasi Viswanadh V. Kanuri³

Abstract: In this paper, we introduce a new operator defined in this paper, we give some new generating functions of binary products of Tribonacci and Tribonacci Lucas polynomials and special numbers.

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“…Special cases of this sequence has been studied by many authors. For some references on special cases of generalized Tribonacci polynomials, see for example [2,11,12,13].…”

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confidence: 99%

Generalized Tribonacci Polynomials

Soykan

2023

EJMS

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In this paper, we investigate the generalized Tribonacci polynomials and we deal with, in detail, two special cases which we call them (r,s,t)-Tribonacci and (r,s,t)-Tribonacci-Lucas polynomials. We also introduce and investigate a new sequence and its two special cases namely the generalized co-Tribonacci, (r,s,t)-co-Tribonacci and (r,s,t)-co-Tribonacci-Lucas polynomials, respectively. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these polynomial sequences. Moreover, we give some identities and matrices related to these polynomials. Furthermore, we evaluate the infinite sums of special cases of (r,s,t)-Tribonacci and (r,s,t)-Tribonacci-Lucas polynomials.

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“…Special cases of this sequence has been studied by many authors. For some references on special cases of generalized Tribonacci polynomials, see for example [2,11,12,13].…”

mentioning

confidence: 99%

Generalized Tribonacci Polynomials

Soykan

2023

EJMS

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Generating Functions of Binary Products of Tribonacci and Tribonacci Lucas Polynomials and Special Numbers

Abstract: In this paper, we introduce a new operator defined in this paper, we give some new generating functions of binary products of Tribonacci and Tribonacci Lucas polynomials and special numbers.

Cited by 1 publication

References 16 publications

Generalized Tribonacci Polynomials

Generalized Tribonacci Polynomials

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