Abstract
We prove a general formula which, with appropriately chosen parameters, gives a composition formula for squares of Gould–Hopper polynomials g 2 n ( x, h), and hence also for Hermite polynomials. Our main tool is the classical Mehler formula, but with imaginary arguments. To cite this article: P. Graczyk, A. Nowak, C. R. Acad. Sci. Paris, Ser. I 338 (2004).
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