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Combinatorics, Probability and Computing
Volume 23

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Combinatorics, Probability and Computing

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Combinatorics, Probability and Computing
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Volume 23 - November 2014

Contents

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Paper

Singularity Analysis Via the Iterated Kernel Method
STEPHEN MELCZER, MARNI MISHNA
Published online by Cambridge University Press:

10 June 2014, pp. 861-888
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In the quarter plane, five lattice path models with unit steps have resisted the otherwise general approach featured in recent works by Fayolle, Kurkova and Raschel. Here we consider these five models, called the singular models, and prove that the univariate generating functions marking the number of walks of a given length are not D-finite. Furthermore, we provide exact and asymptotic enumerative formulas for the number of such walks, and describe an efficient algorithm for exact enumeration.

Front Cover (OFC, IFC) and matter

CPC volume 23 issue 1 Cover and Front matter
Published online by Cambridge University Press:

03 December 2013, pp. f1-f2
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CPC volume 23 issue 1 Cover and Back matter
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03 December 2013, pp. b1-b2
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Front Cover (OFC, IFC) and matter

CPC volume 23 issue 5 Cover and Front matter
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19 August 2014, pp. f1-f2
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CPC volume 23 issue 5 Cover and Back matter
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19 August 2014, pp. b1-b8
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