On a generalisation of Hermite polynomials
Abstract: In this paper, the author introduces a generalisation of the Hermite polynomials. Hypergeometric representations, a new generating relation and $n$th order differential formulae for the generalised polynomials have also been derived therein.
G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloq. Publ., vol. 23, Amer. Math. Soc., Providence, R. I., 1939; 2nd rev. ed., 1959. MR 1, 14; MR 21 #5029.
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Keywords: Hermite polynomials, Laguerre polynomial, generating relations, hypergeometric series, series representation, elementary series manipulation, <IMG WIDTH="18" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$n$">th order differential formulae
Article copyright: © Copyright 1971 American Mathematical Society