Some Identities of Tribonacci Polynomials

Yogesh Kumar Gupta^1, , V. H. Badshah¹, Mamta Singh² and Kiran Sisodiya¹

¹School of Studies in Mathematics, Vikram University Ujjain, (M. P.), India

²Department of Mathematical Sciences and Computer applications, Bundelkhand University, Jhansi (U. P.), India

Cite this paper:
Yogesh Kumar Gupta, V. H. Badshah, Mamta Singh and Kiran Sisodiya. Some Identities of Tribonacci Polynomials. Turkish Journal of Analysis and Number Theory. 2016; 4(1):20-22. doi: 10.12691/tjant-4-1-4

Abstract

The Tribonacci polynomial is famous for possessing wonderful and amazing properties. Tribonacci polynomials t_n(x) defined by the recurrence relation t_n+3(x)=x²t_n+2(x)+xt_n+1(x)+t_n(x) for n≥0 with t_o(x) =o, t₁(x)=1, t₂(x)=x². In this paper, we introduce some identities Tribonacci polynomials by standard techniques.

Keywords:
fibonacci polynomials tribonacci polynomials generating function of tribonacci polynomials

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