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- W1597706988 abstract "New integral representations of Chebyshev and Gegenbauer polynomials in terms of Hermite polynomials are introduced. It is shown that most of the properties of these classes of polynomials can be deduced in a fairly straightforward way from this representation, which provides a unifying framework for a large body of polynomial families, including generalized forms of the Humbert and Bessel type, which are a natural consequence of the point of view developed in this paper. [Italian] Si introducono nuove rappresentazioni integrali dei polinomi di Chebyshev e Gegenbauer. Si dimostra che molte delle proprieta' di queste classi di polinomi possono essere dedotte da tale tipo di rappresentazione, che costituisce un elemento unificante per un largo spettro di famiglie polinomiali, che includono forme generalizzate di polinomi di Humbert e Bessel." @default.
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- W1597706988 date "2003-01-01" @default.
- W1597706988 modified "2023-10-05" @default.
- W1597706988 title "From Hermite to Humbert polynomials" @default.
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