Generating functions for generalized tribonacci and generalizedtricobsthal polynomials

İngilizce (OpenAlex)

In this work, we consider generating functions which are generalized tribonacci polynomials \(T_{n}(x)\) and generalized tricobsthal polynomials \(J_{n}(x)\) which are defined in [7]. We derive generating functions for \((m+n)\)-th order of generalized tribonacci polynomials and generalized tricobsthal polynomials for \(m\ge 2\). Furthermore, we obtain various families of bilinear and bilateral generating functions and give their special cases for these polynomials. Also, we obtain the summation formula of generalized tribonacci polynomials and generalized tricobsthal polynomials.