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Journal of Siberian Federal University. Mathematics & Physics, 2019, Volume 12, Issue 5, Pages 551–559
DOI: https://doi.org/10.17516/1997-1397-2019-12-5-551-559 (Mi jsfu790) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Difference equations and generating functions for some lattice path problems

Sreelatha Chandragiri

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2019-12-5-551-559
Abstract: An identity for generating functions is proved in this paper. A novel method to compute the number of restricted lattice paths is developed on the basis of this identity. The method employs a difference equation with non-constant coefficients. Dyck paths, Schröder paths, Motzkins path and other paths are computed to illustrate this method.
Keywords: difference equation, generating function, lattice path.
Received: 06.02.2019
Received in revised form: 06.04.2019
Accepted: 06.08.2019
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.962.26
Language: English
Citation: Sreelatha Chandragiri, “Difference equations and generating functions for some lattice path problems”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 551–559
Citation in format AMSBIB
\Bibitem{Cha19}
\by Sreelatha~Chandragiri
\paper Difference equations and generating functions for some lattice path problems
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 5
\pages 551--559
\mathnet{http://mi.mathnet.ru/jsfu790}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-5-551-559}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000501589200003}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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