Stephen Melczer ; Marni Mishna - Singularity analysis via the iterated kernel method

dmtcs:2317 - Discrete Mathematics & Theoretical Computer Science, January 1, 2013, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) - https://doi.org/10.46298/dmtcs.2317
Singularity analysis via the iterated kernel method

Authors: Stephen Melczer ORCID-iD1; Marni Mishna 1

  • 1 Department of Mathematics [Burnaby]

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.

https://doi.org/10.46298/dmtcs.2317
Source: HAL:hal-01229731v1
Volume: DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
Section: Proceedings
Published on: January 1, 2013
Imported on: November 21, 2016
Keywords: D-finite,generating function,singularities,Lattice path enumeration,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo ARXIV 2010.00963
Source : ScholeXplorer IsRelatedTo DOI 10.1007/s00029-021-00703-9
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.2010.00963
  • 10.48550/arxiv.2010.00963
  • 2010.00963
  • 10.1007/s00029-021-00703-9
  • 10.1007/s00029-021-00703-9
On differentially algebraic generating series for walks in the quarter plane

2 Documents citing this article

Share and export

Consultation statistics

This page has been seen 179 times.
This article's PDF has been downloaded 184 times.