The generating function of Kreweras walks with interacting boundaries is not algebraic

zbMath1505.05009arXiv2012.00816MaRDI QIDQ2680958

Manuel Kauers, Thibaut Verron, Alin Bostan

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.00816

zbMATH Keywords

generating functionshypergeometric functionscomputer algebrakernel methodlattice pathsalgebraic functionsenumerative combinatoricsD-finite functionscreative telescopingautomated guessingKreweras walks

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Transcendence Certificates for D-finite Functions

Cites Work

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• A fast approach to creative telescoping
• Hypergeometric expressions for generating functions of walks with small steps in the quarter plane
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• Differentiably finite power series
• Factorization of differential operators with rational functions coefficients
• An extension of Zeilberger's fast algorithm to general holonomic functions
• Exact solution of some quarter plane walks with interacting boundaries
• Second order differential equations with hypergeometric solutions of degree three
• The complete generating function for Gessel walks is algebraic

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