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Generalized tricobsthal and generalized tribonacci polynomials

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  • Rybołowicz, Bernard
  • Tereszkiewicz, Agnieszka

Abstract

In this work, we will introduce generalized tribonacci and generalized tricobsthal polynomials. We introduce definitions, formulas for both families of polynomials and the Binet formulas, generating functions. We analyze special points for considered polynomials and present some of polynomials pictorially.

Suggested Citation

  • Rybołowicz, Bernard & Tereszkiewicz, Agnieszka, 2018. "Generalized tricobsthal and generalized tribonacci polynomials," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 297-308.
    • Handle: RePEc:eee:apmaco:v:325:y:2018:i:c:p:297-308
    DOI: 10.1016/j.amc.2017.12.042
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    References listed on IDEAS

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    1. Tereszkiewicz, Agnieszka & Wawreniuk, Izabela, 2015. "Generalized Jacobsthal polynomials and special points for them," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 806-814.
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    Cited by:

    1. Ilija, Tanackov, 2018. "Binet type formula for Tribonacci sequence with arbitrary initial numbers," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 63-68.
    2. Ilija Tanackov & Ivan Pavkov & Željko Stević, 2020. "The New New-Nacci Method for Calculating the Roots of a Univariate Polynomial and Solution of Quintic Equation in Radicals," Mathematics, MDPI, vol. 8(5), pages 1-18, May.

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