Automated positive part extraction for lattice path generating functions in the octant

DOI10.1016/j.endm.2017.07.073zbMath1378.05011arXiv1703.06653OpenAlexW2743743770MaRDI QIDQ1690057

Rika Yatchak

Publication date: 18 January 2018

Full work available at URL: https://arxiv.org/abs/1703.06653

zbMATH Keywords

generating functions of restricted lattice walks

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)

Related Items (2)

Walks with small steps in the 4D-orthant ⋮ 3D positive lattice walks and spherical triangles

Uses Software

• SageMath

Cites Work

• Infinite orders and non-\(D\)-finite property of 3-dimensional lattice walks
• Formal Laurent series in several variables
• On 3-dimensional lattice walks confined to the positive octant
• Hypergeometric expressions for generating functions of walks with small steps in the quarter plane
• The diagonal of a D-finite power series is D-finite
• Walks in the Quarter Plane with Multiple Steps
• Walks with small steps in the quarter plane
• The complete generating function for Gessel walks is algebraic

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