On 3-Dimensional Lattice Walks Confined to the Positive Octant

Many recent papers deal with the enumeration of 2-dimensional walks with prescribed steps confined to the positive quadrant. The classification is now complete for walks with steps in { 0 , ± 1 } 2 : the generating function is D-finite if and only if a certain group associated with the step set is f...

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Bibliographic Details

Published in:	Annals of combinatorics Vol. 20; no. 4; pp. 661 - 704
Main Authors:	Bostan, Alin, Bousquet-Mélou, Mireille, Kauers, Manuel, Melczer, Stephen
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.12.2016 Springer Nature B.V Springer Verlag
Subjects:	Combinatorics Computer algebra Differential equations Enumeration Group theory Mathematics Mathematics and Statistics Quadrants D-finite series exact enumeration 05A15 lattice walks Exact enumeration Lattice walks
ISSN:	0218-0006, 0219-3094
Online Access:	Get full text
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