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Pacific Journal of Mathematics
Article
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Other literature type . 1989
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zbMATH Open
Article . 1989
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Pacific Journal of Mathematics
Article . 1989 . Peer-reviewed
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https://dx.doi.org/10.2140/pjm...
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Lattice paths and multiple basic hypergeometric series

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1989 English Publisher:Mathematical Sciences PublishersJournal:Pacific Journal of Mathematics, volume 136, pages 209-228 (issn: 0030-8730, eissn: 0030-8730, Copyright policy )
Authors: Agarwal, A. K.; Bressoud, David M.;

doi: 10.2140/pjm.1989.136.209

Lattice paths and multiple basic hypergeometric series

Abstract

The equivalence between certain identities for basic hypergeometric series and some combinatorial identities for colored partitions is established by viewing the basic hypergeometric series as generating functions for weighted lattice paths.

Keywords

05A19, Classical hypergeometric functions, \({}_2F_1\), Combinatorial aspects of partitions of integers, basic hypergeometric series, 05A30, 05A15, 33A35

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    selected citations
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    		 35
    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Top 10%
Top 10%
Average
Green
bronze