An elementary solution of Gessel's walks in the quadrant

Around 2000, Ira Gessel conjectured that the number of lattice walks in the quadrant N2, starting and ending at the origin (0,0) and taking their steps in {→,↗,←,↙} had a simple hypergeometric form. In the following decade, this problem was recast in the systematic study of walks with small steps (t...

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Bibliographic Details
Published in:	Advances in mathematics (New York. 1965) Vol. 303; pp. 1171 - 1189
Main Author:	Bousquet-Mélou, Mireille
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 05.11.2016 Elsevier
Subjects:	Algebraic series Combinatorics Exact enumeration Lattice walks Mathematics Exact enumeration Algebraic series Lattice walks
ISSN:	0001-8708, 1090-2082
Online Access:	Get full text
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