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Generalizations on Humbert polynomials and functions.
- Source :
-
Cogent Mathematics . Dec2017, Vol. 4 Issue 1, p0-0. 1p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 23311835
- Volume :
- 4
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Cogent Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 128362912
- Full Text :
- https://doi.org/10.1080/23311835.2017.1310354