Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks
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Publication:5133740
zbMath1468.12004arXiv1709.06831MaRDI QIDQ5133740
Thomas Dreyfus, Kilian Raschel
Publication date: 10 November 2020
Full work available at URL: https://arxiv.org/abs/1709.06831
transcendenceelliptic functionsalgebraicitydifference Galois theoryrandom walks in the quarter plane
Exact enumeration problems, generating functions (05A15) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Difference algebra (12H10) Linear difference equations (39A06)
Related Items (7)
Enumerative combinatorics. Abstracts from the workshop held December 11--17, 2022 ⋮ Enumeration of walks with small steps avoiding a quadrant ⋮ On the nature of four models of symmetric walks avoiding a quadrant ⋮ On differentially algebraic generating series for walks in the quarter plane ⋮ Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions ⋮ An upper bound and finiteness criteria for the Galois group of weighted walks with rational coefficients in the quarter plane ⋮ On the kernel curves associated with walks in the quarter plane
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