Proof of a conjecture by Gazeau et al. using the Gould Hopper polynomials

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We prove the "strong conjecture" expressed by Gazeau et al. in
arXiv:1203.3936v1 [math-ph] about the coefficients of the Taylor expansion of
the exponential of a polynomial. This implies the "weak conjecture" as a
special case. The proof relies mainly about properties of the Gould-Hopper
polynomials.

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