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  1. Home > Articles & Issues >
  2. Articles >
  3. Singularity analysis ...
Conference paper

Singularity analysis via the iterated kernel method

Stephen Melczer ORCID (1), Marni Mishna ORCID (1)
(1) Department of Mathematics [Burnaby]
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Imported on
November 21, 2016
Published on
December 31, 2012
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
Proceedings
DOI
10.46298/dmtcs.2317
License
https://about.hal.science/hal-authorisation-v1
Natural Sciences and Engineering Research Council of Canada
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914
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Singularity analysis via the iterated kernel method

Stephen Melczer ORCID (1), Marni Mishna ORCID (1)
(1) Department of Mathematics [Burnaby]
Abstract
English
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.
French
Nous présentons des résultats énumératifs pour les cinq modèles de marche dans le quart de plan dites "singulière''. Nous prouvons que ces modèles sont non-holonomes.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Lattice path enumeration
  • D-finite
  • generating function
  • singularities
Cited by

Source: OpenCitations

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    Journal reference : Volume 22, 2013, pp. 161-183

    DOI : 10.1017/s0963548312000594

  • Computer Algebra in the Service of Enumerative Combinatorics

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    Journal reference : Volume , 2021, pp. 1-8

    DOI : 10.1145/3452143.3465507
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