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SIAM Journal on Mathematical Analysis
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zbMATH Open
Article . 1980
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SIAM Journal on Mathematical Analysis
Article . 1980 . Peer-reviewed
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https://dx.doi.org/10.1137/051...
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The Algebra of Linear Partial Difference Operators and Its Applications

The algebra of linear partial difference operators and its applications
descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1980 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 11, pages 919-932 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )
Authors: Zeilberger, Doron;

doi: 10.1137/0511082

The Algebra of Linear Partial Difference Operators and Its Applications

Abstract

The algebra of linear partial difference operators is investigated, and an elimination procedure demonstrated. Applications to combinatorics are given. In particular, a new proof and a q-analogue of MacMahon’s Master Theorem are given.

Keywords

algebra of linear partial difference operators, Exact enumeration problems, generating functions, Difference operators, MacMahon's master theorem, elimination procedure

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    influence
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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!
9
Average
Top 10%
Average
bronze