The theory of Hermite, Laguerre, and of the associated generating functions is reformulated within the framework of an operational formalism. This point of view provides more efficient tools which allow the straightforward derivation of a wealth of new and old identities. In this paper a central role is played by negative derivative operators and by their link with the Tricomi functions and the generalized Laguerre polynomials. © 1999 Academic Press.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Dattoli, G., Torre, A., & Lorenzutta, S. (1999). Operational identities and properties of ordinary and generalized special functions. Journal of Mathematical Analysis and Applications, 236(2), 399 - 414. https://doi.org/10.1006/jmaa.1999.6447