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research article
Proof of a conjecture by Gazeau et al. using the Gould-Hopper polynomials
Vignat, C.
•
Leveque, O.
We provide here some probabilistic interpretations of the generalized binomial distributions proposed by Gazeau et al. ["Generating functions for generalized binomial distributions," J. Math. Phys. 53, 103304 (2012)]. In the second part, we prove the "strong conjecture" expressed by Gazeau et al. about the coefficients of the Taylor expansion of the exponential of a polynomial. The proof relies mainly on properties of the Gould-Hopper polynomials. (C) 2013 AIP Publishing LLC.
Type
research article
Web of Science ID
WOS:000322526900037
Authors
Vignat, C.
•
Leveque, O.
Publication date
2013
Publisher
Published in
Volume
54
Issue
7
Article Number
073513
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 1, 2013
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