Geodesic
On a class of Humbert-Hermite polynomials
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1 Cet article a éte moissonné depuis la source Novi sad journal of mathematics website

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A unified presentation of a class of Humbert's polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinnsy, Horadam-Pethe, Djordjević, Gould, Milovanović and Djordjević, Pathan and Khan polynomials and many not so called 'named' polynomials has inspired the present paper and the authors define here generalized Humbert-Hermite polynomials of two variables. Several expansions of Humbert-Hermite polynomials, Hermite-Gegenbaurer (or ultraspherical) polynomials and Hermite-Chebyshev polynomials are proved.
Publié le :
DOI : 10.30755/NSJOM.05832
Classification : 33C45, 33C55, 33C99
Keywords: Hermite polynomials, Humbert polynomials, Gegenbauer polynomials, Chebyshev polynomials, Pathan-Khan polynomials, hypergeometric function 
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     title = {On a class of {Humbert-Hermite} polynomials},
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     year = {2021},
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     number = {1},
     doi = {10.30755/NSJOM.05832},
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Waseem A. Khan; M. A. Pathan. On a class of Humbert-Hermite polynomials. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1. doi: 10.30755/NSJOM.05832

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