Geodesic
On Polynomials Associated With Humbert's Polynomials
Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 53

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The principal object of this paper is to provide a natural further step toward the unified presentation of a class of Humbert's polynomials which generalizes the well known class of Gegenbauer, Legendre, Pincherle, Horadam, Kinney, Horadam-Pethe, Gould and Milovanović-Đorđević polynomials and many not so well-known polynomials. We shall give some basic relations involving the generalized Humbert polynomials and then take up several generating functions, hypergeometric representations and expansions in series of some relatively more familiar polynomials of Legendre, Gegenbauer, Hermite and Laguerre. Some of these results may be looked upon as providing useful extensions of the known results of Dilcher, Horadam, Sinha, Shreshtha and Milovanović-Đorđević.
Classification : 33C35
Keywords: Humbert's polynomials, Gegenbauer polynomials, Horadam polynomials, Kinney polynomials, Pincherle polynomials and Horadam-Pethe polynomials. 
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     author = {M.A. Pathan and M.A. Khan},
     title = {On {Polynomials} {Associated} {With} {Humbert's} {Polynomials}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {53 },
     publisher = {mathdoc},
     volume = {_N_S_62},
     number = {76},
     year = {1997},
     zbl = {0992.33005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a5/}
}
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M.A. Pathan; M.A. Khan. On Polynomials Associated With Humbert's Polynomials. Publications de l'Institut Mathématique, _N_S_62 (1997) no. 76, p. 53 . http://geodesic.mathdoc.fr/item/PIM_1997_N_S_62_76_a5/