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 Tn;m(x).We find an explicit formula for Tn;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.
Shattuck, Mark and Tan, Elif
Incomplete Generalized (p; q; r)-Tribonacci Polynomials,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
1, Article 1.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/1