The Hankel transform of generalized central trinomial coefficients and related sequences
The Hankel transform of generalized central trinomial coefficients and related sequences
Abstract In this paper, we explore the connection between the Hankel transform, Riordan arrays and orthogonal polynomials. For this purpose, we evaluate the Hankel transform of generalized trinomial coefficients, as a closed-form expression, using the method based on the orthogonal polynomials. Since the generalized trinomial coefficients are generalization of several …