On generating functions of classical polynomials

Verma, Arun

doi:10.1090/S0002-9939-1974-0344537-7

On generating functions of classical polynomials
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by Arun Verma

Proc. Amer. Math. Soc. 46 (1974), 73-76

DOI: https://doi.org/10.1090/S0002-9939-1974-0344537-7

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Abstract:

An expansion of an arbitrary power series in terms of products of a power series and a polynomial $p_n^{(\alpha ,\beta )}(x)$ (where $\alpha ,\beta$ are not necessarily independent of $n$) is given.

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A class of generating functions of $G$-functions and the Laplace transform

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