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Incomplete Tribonacci–Lucas Numbers and Polynomials

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Abstract

In this paper, we define Tribonacci–Lucas polynomials and present Tribonacci–Lucas numbers and polynomials as a binomial sum. Then, we introduce incomplete Tribonacci–Lucas numbers and polynomials. In addition we derive recurrence relations, some properties and generating functions of these numbers and polynomials. Also, we find the generating function of incomplete Tribonacci polynomials which is given as the open problem in [12].

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Authors and Affiliations

  1. Department of Mathematics, Selcuk University, Konya, Turkey

    Nazmiye Yilmaz & Necati Taskara

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  1. Nazmiye Yilmaz
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  2. Necati Taskara
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Correspondence to Nazmiye Yilmaz.

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Yilmaz, N., Taskara, N. Incomplete Tribonacci–Lucas Numbers and Polynomials. Adv. Appl. Clifford Algebras 25, 741–753 (2015). https://doi.org/10.1007/s00006-014-0523-8

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  • DOI: https://doi.org/10.1007/s00006-014-0523-8

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