Explicit expression for the generating function counting Gessel's walks

Irina Kurkova, Kilian Raschel

Type: Preprint

Publication Date: 2009-12-02

Citations: 1

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Explicit expression for the generating function counting Gesselʼs walks	2010	Irina Kurkova Kilian Raschel
+	Explicit expression of the counting generating function for Gessel's walk	2009	Irina Kurkova Kilian Raschel
+ PDF Chat	The complete generating function for Gessel walks is algebraic	2010	Alin Bostan Manuel Kauers
+	An elementary solution of Gessel's walks in the quadrant	2016	Mireille Bousquet‐Mélou
+	A probabilistic approach to enumeration of Gessel walks	2009	Ping Sun
+	An elementary solution of Gessel's walks in the quadrant	2015	Mireille Bousquet‐Mélou
+	An elementary solution of Gessel's walks in the quadrant	2015	Mireille Bousquet‐Mélou
+	Square lattice walks avoiding a quadrant	2015	Mireille Bousquet‐Mélou
+	Square lattice walks avoiding a quadrant	2015	Mireille Bousquet‐Mélou
+	A human proof of Gessel’s lattice path conjecture	2015	Alin Bostan Irina Kurkova Kilian Raschel
+ PDF Chat	On the Nature of Four Models of Symmetric Walks Avoiding a Quadrant	2021	Thomas Dreyfus Amélie Trotignon
+	Square lattice walks avoiding a quadrant	2016	Mireille Bousquet‐Mélou
+	Walks in the quadrant: Tutte’s invariant method	2017	Mireille Bousquet‐Mélou
+ PDF Chat	The Sage package comb_walks for walks in the quarter plane	2020	Alin Bostan Frédéric Chyzak Antonio Jiménez-Pastor Pierre Lairez
+	The generating function of Kreweras walks with interacting boundaries is not algebraic	2020	Alin Bostan Manuel Kauers Thibaut Verron
+ PDF Chat	New Steps in Walks with Small Steps in the Quarter Plane: Series Expressions for the Generating Functions	2015	Irina Kurkova Kilian Raschel
+	Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane	2016	Alin Bostan Frédéric Chyzak Mark van Hoeij Manuel Kauers Lucien Pech
+	A Note on the Gessel Numbers	2022	Jovan Mikić
+	One-dimensional walks	2010	Gregory F. Lawler Vlada Limic
+	Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane	2016	Alin Bostan Frédéric Chyzak Mark van Hoeij Manuel Kauers Lucien Pech

Works That Cite This (1)

Action	Title	Year	Authors
+	Counting walks with large steps in an orthant	2018	Alin Bostan Mireille Bousquet‐Mélou Stephen Melczer

Works Cited by This (6)

Action	Title	Year	Authors
+	Walks with small steps in the quarter plane	2008	Mireille Bousquet‐Mélou Marni Mishna
+ PDF Chat	Proof of Ira Gessel's lattice path conjecture	2009	Manuel Kauers Christoph Koutschan Doron Zeilberger
+ PDF Chat	The complete generating function for Gessel walks is algebraic	2010	Alin Bostan Manuel Kauers
+ PDF Chat	Cauchy-type integrals of algebraic functions	2004	Fedor Pakovich N. Roytvarf Yosef Yomdin
+	A probabilistic method for lattice path enumeration	1986	Ira M. Gessel
+	Towards a Human Proof of Gessel's Conjecture	2009	Arvind Ayyer