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Symmetric Identities for Fubini Polynomials [PDF]
Symmetry, 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 +3 more
semanticscholar +5 more sources
Symmetric Functions: A Bijective Identity [PDF]
Proceedings of the American Mathematical Society, 1988 We give a bijective proof of a classical identity which we have named the cyclotomic identity.
N. Metropolis, Gian‐Carlo Rota
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A symmetrical q-Eulerian identity [PDF]
, 2012 We find a $q$-analog of the following symmetrical identity involving binomial coefficients $\binom{n}{m}$ and Eulerian numbers $A_{n,m}$, due to Chung, Graham and Knuth [{\it J. Comb.}, {\bf 1} (2010), 29--38]: {equation*} \sum_{k\geq 0}\binom{a+b}{k}A_{k,a-1}=\sum_{k\geq 0}\binom{a+b}{k}A_{k,b-1}.
Guo-Niu Han, Zhicong Lin, Jiang Zeng
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Group identities on symmetric units
Journal of Algebra, 2009 The group algebra \(FG\) of a group \(G\) over a field \(F\) is naturally endowed with an involution *, i.e., the \(F\)-linear extension of the involution on \(G\) given by \(g\mapsto g^{-1}\). The latter is called the classical involution and has received substantial interest. Of course, there are obvious more general involutions of \(FG\), namely the
Antonio Giambruno +2 more
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Bilinear identities on Schur symmetric functions [PDF]
Journal of Nonlinear Mathematical Physics, 2010 A series of bilinear identities on the Schur symmetric functions is obtained with the use of Pluecker relations.Comment: Accepted to Journal of Nonlinear Mathematical Physics.
Fulmek M. +6 more
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AN IDENTITY ON SYMMETRIC POLYNOMIALS
Tạp chí Khoa học Đại học Đà Lạt, 2020 In this paper, we propose and prove an identity on symmetric polynomials. In order to obtain this identity, we use the interpolation theory, in particular, the Lagrange interpolation formula. In the proof of the identity, we propose two different proofs.
Đặng Tuấn Hiệp, Lê Văn Vĩnh
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$0$-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We define an action of the $0$-Hecke algebra of type A on the Stanley-Reisner ring of the Boolean algebra. By studying this action we obtain a family of multivariate noncommutative symmetric functions, which specialize to the noncommutative Hall ...
Jia Huang
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Indefinite Almost Paracontact Metric Manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We
Mukut Mani Tripathi +3 more
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McShane's identity in rank one symmetric spaces [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2014 AbstractWe study McShane's identity in real and complex hyperbolic spaces and obtain various generalizations of the identity for representations of surface groups into the isometry groups of rank one symmetric spaces. Our methods unify most of the existing methods used in the existing literature for proving this class of identities.
Inkang Kim +5 more
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Symmetric Identities Involving the Extended Degenerate Central Fubini Polynomials Arising from the Fermionic p-Adic Integral on ℤp [PDF]
AxiomsSince the constructions of p-adic q-integrals, these integrals as well as particular cases have been used not only as integral representations of many special functions, polynomials, and numbers, but they also allow for deep examinations of many families
Maryam Salem Alatawi +2 more
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