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Symmetric Identities for Fubini Polynomials [PDF]

open access: yesSymmetry, 2018
We represent the generating function of w-torsion Fubini polynomials by means of a fermionic p-adic integral on Zp. Then we investigate a quotient of such p-adic integrals on Zp, representing generating functions of three w-torsion Fubini polynomials and derive some new symmetric identities for the w-torsion Fubini and two variable w-torsion Fubini ...
Taekyun Kim, Dae San Kim, Jongkyum Kwon
exaly   +4 more sources

General identities on Bell polynomials

open access: yesComputers and Mathematics With Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiping Wang, Tianming Wang
exaly   +3 more sources
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ON POLYNOMIAL AUTOMORPHISM IDENTITY SETS AND IDENTITY POLYNOMIALS

Communications in Algebra, 2001
In this paper, we propose a new condition for hypersurfaces to be polynomial automorphism identity sets. This new condition can be used to give a new proof of Mckay-Wang's problem. Moreover, we also study the concepts of identity polynomials, and give a criterion for a polynomial to be identity polynomial.
Wang Mingsheng, Liu Zhuojun
openaire   +1 more source

Identities of *-superalgebras and almost polynomial growth

open access: yesLinear and Multilinear Algebra, 2016
We study the growth of the codimensions of a *-superalgebra over a field of characteristic zero. We classify the ideals of identities of finite dimensional algebras whose corresponding codimensions are of almost polynomial growth. It turns out that these
Antonio Giambruno   +1 more
exaly   +2 more sources

Equivalence of Polynomial Identity Testing and Polynomial Factorization

computational complexity, 2015
In this research paper it is demonstrated that the problem of deterministically factoring multivariate polynomials reduces to the problem of deterministic polynomial identity testing. More specifically, it is explored that, given an arithmetic circuit (either explicitly or via black-box access) that computes a multivariate polynomial \(f\), the task of
Swastik Kopparty   +2 more
openaire   +1 more source

A q-Polynomial Identity

Proceedings of the American Mathematical Society, 1985
This q-polynomial identity involves the number of inversions between multisets \((a_ 1,...,a_ n)\) and \((m-a_ 1,...,m-a_ n)\), and generalizes the recurrence identity for q-binomial (Gaussian) coefficients [\textit{I. P. Goulden} and \textit{D. M. Jackson}, Combinatorial enumeration (1983; Zbl 0519.05001), p.
openaire   +2 more sources

Derivations and Identities for Chebyshev Polynomials

Ukrainian Mathematical Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bedratyuk, L. P., Lunio, N. B.
openaire   +1 more source

An Identity in Hermite Polynomials

Biometrika, 1971
SUMMARY An extension of the Runge (1914) identity in Hermite polynomials is derived, and a test of the assumption of bivariate normality is developed using the identity.
openaire   +1 more source

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