Open AccessThe Algebra of Linear Partial Difference Operators and Its Applications
Author(s) -
Doron Zeilberger
Publication year - 1980
Publication title -
siam journal on mathematical analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.882
H-Index - 92
eISSN - 1095-7154
pISSN - 0036-1410
DOI - 10.1137/0511082
Subject(s) - mathematics , algebra over a field , linear operators , linear algebra , pure mathematics , mathematical analysis , geometry , bounded function
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.
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