Singularity analysis via the iterated kernel method

Abstract : We provide exact and asymptotic counting formulas for five singular lattice path models in the quarter plane. Furthermore, we prove that these models have a non D-finite generating function.
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Conference papers
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https://hal.inria.fr/hal-01229731
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Stephen Melczer, Marni Mishna. Singularity analysis via the iterated kernel method. 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 2013, Paris, France. pp.481-492. ⟨hal-01229731⟩

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