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Operational identities and properties of ordinary and generalized special functions. (English) Zbl 0943.33005
Here 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 number 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.

33C45Orthogonal polynomials and functions of hypergeometric type
Full Text: DOI
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