Publication

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

Olivier Lévêque
2013
Journal Articles

Abstract

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.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

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

Chat with Graph Search

SC-TPTP: An Extension of the TPTP Derivation Format for Sequent-Based Calculus

Orthologic with Axioms

Non-planarity of Markoff graphs mod p