Finding Discrete Bessel and Tricomi Convolutions of Certain Special Polynomials

In this article, the discrete Bessel and Tricomi convolutions of the Laguerre-Gould-Hopper polynomials are introduced. Some important properties including recurrence relations and operational representations of these families are established. For suitable values of indices and variables, the Laguerre-Gould-Hopper polynomials yield several special polynomials. Consequently, results for the discrete Bessel and Tricomi convolutions of the corresponding special polynomials are also obtained.