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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Veröffentlicht in:	Annals of combinatorics Jg. 20; H. 4; S. 661 - 704
Hauptverfasser:	Bostan, Alin, Bousquet-Mélou, Mireille, Kauers, Manuel, Melczer, Stephen
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Cham Springer International Publishing 01.12.2016 Springer Nature B.V Springer Verlag
Schlagworte:	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-Zugang:	Volltext
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