LATTICE PATHS RESTRICTED BY TWO PARALLEL HYPERPLANES - Collections

＜journal article＞
LATTICE PATHS RESTRICTED BY TWO PARALLEL HYPERPLANES

Creator	Creator Name Sato, Masako 佐藤, 優子 Affiliation Affiliation Name Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture 大阪府立大学工学部数理工学科
Creator	Creator Name Sado, Taishin Affiliation Affiliation Name Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	1985-03
Source Title	Bulletin of informatics and cybernetics
Vol	21
Issue	3/4
First Page	97
Last Page	105
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/13371
Related DOI	Bulletin of informatics and cybernetics \|\| 21(3/4) \|\| p97-105
Related DOI	http://bic.math.kyushu-u.ac.jp/
Related URI	Bulletin of informatics and cybernetics \|\| 21(3/4) \|\| p97-105
Related URI	http://bic.math.kyushu-u.ac.jp/
Relation	Bulletin of informatics and cybernetics \|\| 21(3/4) \|\| p97-105
Relation	http://bic.math.kyushu-u.ac.jp/
Abstract	In the present paper, a lattice path in the nonnegative orthant in the $ (k+1) $-dimensional integer lattice is considered. The generating functions are obtained for the numbers of lattice paths restr...icted by two parallel hyperplanes satisfying various conditions and are expressed by rational functions of $ k $-variables. Results include those by Sato and Cong [16].show more

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