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

C. Vignat; O. L\'ev\^eque

arxiv: 1203.5418 · v1 · pith:B5W3ZOP6new · submitted 2012-03-24 · 🧮 math-ph · math.MP

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

C. Vignat , O. L\'ev\^eque This is my paper

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keywords conjecturegazeaupolynomialsproofarxivcasecoefficientsexpansion

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

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