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- W2599689986 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 present some relevant relations linking the Bessel-type functions, the Humbert functions and the generalized Hermite polynomials. We also present a generalization of the Laguerre polynomials in the same context of the incomplete-type and we see some useful operational relations involving special functions as the Tricomi functions; we use this family of Laguerre polynomials to introduce some operational techniques for the Humbert-type functions. Finally, we note as the formalism discussed could be exploited to generalize some distribution as for example the Poisson type." @default.
- W2599689986 created "2017-04-07" @default.
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- W2599689986 date "2017-01-01" @default.
- W2599689986 modified "2023-09-23" @default.
- W2599689986 title "Generalizations on Humbert polynomials and functions" @default.
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- W2599689986 doi "https://doi.org/10.1080/23311835.2017.1310354" @default.
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