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The Dimension of the Linear Space Spanned by All Partial Derivatives of a Symmetric Polynomial
Author(s) -
Reus Christensen Jens Peter,
Sasvári Zoltán
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200207)241:1<28::aid-mana28>3.0.co;2-8
Subject(s) - mathematics , dimension (graph theory) , polynomial , symmetric polynomial , space (punctuation) , pure mathematics , linear space , combinatorics , elementary symmetric polynomial , mathematical analysis , matrix polynomial , orthogonal polynomials , difference polynomials , linguistics , philosophy
In this note we compute the dimension of the linear space spanned by all partial derivatives of an elementary symmetric polynomial in n real variables.