On certain symmetry properties of the Genocchi numbers
type: Item
instance of: scholarly article
title: On certain symmetry properties of the Genocchi numbers
zbMATH Open document ID: 0870.05002
DOI: 10.1016/0012-365X(95)00145-M
published in: Discrete Mathematics
publication date: 1996-09-03T00:00:00Z
review text: The author proves all the conjectures of \textit{D. Dumont} [Discrete Math. 139, No. 1-3, 469-472 (1995; Zbl 0823.05003)] concerning some symmetric polynomial sequences which are the refinements of the Genocchi numbers and also presents a new symmetric model for the Dumont-Foata polynomials in terms of Motzkin paths.
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 11B68
zbMATH DE Number: 897613
zbMATH Keywords: symmetric polynomial sequences
zbMATH Keywords: Genocchi numbers
zbMATH Keywords: Dumont-Foata polynomials
zbMATH Keywords: Motzkin paths
author: Jiang Zeng
reviewed by: I. M. Chakravarti
MaRDI profile type: Publication
cites work: Explicit formulas for the Dumont-Foata polynomial
cites work: Conjectures on the ternary symmetries connected to the Genocchi numbers
cites work: Une propriété de symétrie des nombres de Genocchi
cites work: On an extension of the Genocchi numbers
cites work: Further results on the Euler and Genocchi numbers
cites work: Combinatorial aspects of continued fractions
cites work: Continued Fractions and Totally Monotone Sequences
full work available at URL: 0012-365x(95)00145-m
OpenAlex ID: W49972985
description: scientific article; zbMATH DE number 897613