We use the Borel theorem to find new families of generating functions, involving Hermite, Laguerre and Tchebycheff polynomials of one or more variables. We also use operational methods and integral representations to discuss the properties of the relativistic Laguerre and Bessel polynomials and to derive generating functions involving sums of the type formula presented.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Dattoli, G., Cesarano, C., & Sacchetti, D. (2001). Miscellaneous results on the generating functions of special functions. Integral Transforms and Special Functions, 12(4), 315 - 322. https://doi.org/10.1080/10652460108819354