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Identity polynomials and test polynomials
1997The author investigates the relations between an identity polynomial \(p\in k[x_1, \dots, x_n]\), \(k\) a commutative field, and its zero set with respect to be an identity or determining set. In an analogous way he relates test polynomials and test sets. Furthermore conditions for being or not being an identity or test polynomial are derived.
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A noncommutative identity for the appell polynomials
Mathematical Notes, 1998A sequence of Appell polynomials is defined as a sequence \(A=\{a_n(x),n\geq 0\}\) of polynomials \(a_n(x)\) satisfying the properties: (a) have the degree equal to \(n\); (b) behave like power-law functions under differentiation, i.e. \({da_n(x) \over dx}= na_{-1}(x)\), \(n=0,1, \dots\).
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Poisson polynomial identities II
Archiv der Mathematik, 1999The commutative algebra \(B\) equipped with a bracket \(\{\cdot,\cdot\}\) is called a Poisson algebra if the bracket makes \(B\) a Lie algebra and is assumed to be an associative algebra derivation in each argument. In a series of papers, the author has attempted to develop a purely algebraic theory of Poisson algebras.
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POLYNOMIAL IDENTITIES AND HAUPTMODULN
The Quarterly Journal of Mathematics, 1981openaire +2 more sources
Several identities for the generalized Apostol–Bernoulli polynomials
Computers and Mathematics With Applications, 2008Yang Hanqing, Zhizheng Zhang
exaly
Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials
Russian Journal of Mathematical Physics, 2011A Bayad
exaly
Group algebras whose units satisfy a Laurent polynomial identity
Archiv Der Mathematik, 2018Ángel del Río
exaly

