Incomplete Generalized (p; q; r)-Tribonacci Polynomials

Authors

Mark Shattuck, University of Tennessee
Elif Tan, Ankara University

Abstract

In this paper, we consider an extension of the tribonacci polynomial, which we will refer to as the generalized (p; q; r)-tribonacci polynomial, denoted by T_n;m(x).We find an explicit formula for T_n;m(x)which we use to introduce the incomplete generalized (p; q; r)-tribonacci polynomials and derive several properties. An explicit formula for the generating function of the incomplete generalized polynomials is determined and a combinatorial interpretation is provided yielding further identities.

Recommended Citation

Shattuck, Mark and Tan, Elif (2018). Incomplete Generalized (p; q; r)-Tribonacci Polynomials, Applications and Applied Mathematics: An International Journal (AAM), Vol. 13, Iss. 1, Article 1.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/1