D. Babusci, G. Dattoli, K. Gorska, K. A. Penson
Symbolic methods of umbral nature are playing an important and increasing role in the theory of special functions and in related fields like combinatorics. We discuss an application of these methods to the theory of lacunary generating functions of Laguerre polynomials for which we give a number of new close form expressions. We present furthermore the different possibilities offered by the method we have developed, with particular emphasis on their link with new family of special functions and with previous formulations, associated with the theory of quasi monomials.
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http://arxiv.org/abs/1302.4894
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