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Asymptotic Expansions for Sub-Critical Lagrangean Forms

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Abstract

Asymptotic expansions for the Taylor coefficients of the Lagrangean form phi(z)=zf(phi(z)) are examined with a focus on the calculations of the asymptotic coefficients. The expansions are simple and useful, and we discuss their use in some enumerating sequences in trees, lattice paths and planar maps.

BibTeX - Entry

@InProceedings{hwang_et_al:LIPIcs:2018:8922,
  author =	{Hsien-Kuei Hwang and Mihyun Kang and Guan-Huei Duh},
  title =	{{Asymptotic Expansions for Sub-Critical Lagrangean Forms}},
  booktitle =	{29th International Conference on Probabilistic,  Combinatorial and Asymptotic Methods for the Analysis of Algorithms  (AofA 2018)},
  pages =	{29:1--29:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-078-1},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{110},
  editor =	{James Allen Fill and Mark Daniel Ward},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/8922},
  URN =		{urn:nbn:de:0030-drops-89224},
  doi =		{10.4230/LIPIcs.AofA.2018.29},
  annote =	{Keywords: asymptotic expansions, Lagrangean forms, saddle-point method, singularity analysis, maps}
}

Keywords: asymptotic expansions, Lagrangean forms, saddle-point method, singularity analysis, maps
Seminar: 29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018)
Issue date: 2018
Date of publication: 2018


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