WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Humbert Polynomials and Functions in Terms of Hermite Polynomials Towards Applications to Wave Propagation
Authors: , ,
Abstract: By starting from the standard definitions of the incomplete two-variable Hermite polynomials, we propose non-trivial generalizations and we show some applications to the Bessel-type functions as the Humbert functions. We also present a generalization of the Laguerre polynomials in the same context of the incomplete-type and we use these to obtain relevant operational techniques for the Humbert-type functions. Final considerations are inserted to include the problem of wave propagation in the present theoretical framework.