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A multivariable analogue of Gould's and Gould-Hopper's polynomials - MaRDI portal

A multivariable analogue of Gould's and Gould-Hopper's polynomials (Q1176018)

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scientific article; zbMATH DE number 13338
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English
A multivariable analogue of Gould's and Gould-Hopper's polynomials
scientific article; zbMATH DE number 13338

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    A multivariable analogue of Gould's and Gould-Hopper's polynomials (English)
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    25 June 1992
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    By considering an obvious multiple variable analogue of the generating relation for the polynomials \(g_n^ r(x,h)\) studied by \textit{H. W. Gould} and \textit{A. T. Hopper} [Duke Math. J. 29, 51--63 (1962; Zbl 0108.06504)] the authors introduce a class of polynomials which also includes the generalized Humbert polynomials \(P_n(m,x,y,p,C)\) as its particular case.
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    Humbert polynomials
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    Gould polynomials
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    generating function
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