Results 11 to 20 of about 2,266,070 (328)
Bilinear Identities on Schur Symmetric Functions [PDF]
A series of bilinear identities on the Schur symmetric functions is obtained with the use of Pluecker relations.
Gurevich, Dimitri +2 more
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$0$-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra [PDF]
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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McShane's identity in rank one symmetric spaces [PDF]
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, JOONHYUNG KIM, SER PEOW TAN
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Indefinite Almost Paracontact Metric Manifolds [PDF]
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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Some Symmetric Identities involving a Sequence of Polynomials [PDF]
In this paper we establish some symmetric identities on a sequence of polynomials in an elementary way, and some known identities involving Bernoulli and Euler numbers and polynomials are obtained as particular cases.
Yuan He, Wenpeng Zhang
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Symmetric identities on Bernoulli polynomials [PDF]
In this paper, we obtain a generalization of an identity due to Carlitz on Bernoulli polynomials. Then we use this generalized formula to derive two symmetric identities which reduce to some known identities on Bernoulli polynomials and Bernoulli numbers, including the Miki identity.
Fu, Amy M., Pan, Hao, Zhang, Iris F.
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New Symmetric Identities Involving q-Zeta Type Functions [PDF]
The main object of this paper is to obtain several symmetric properties of the q-zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Serkan Araci +3 more
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Symmetric Identities Involving the Extended Degenerate Central Fubini Polynomials Arising from the Fermionic p-Adic Integral on ℤp [PDF]
Since 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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Skew-symmetric identities of octonions
The paper under review is devoted to the classification of the multilinear skew-symmetric identities and central polynomials of the octonions over a field of characteristic \(0\). It turns out that any multilinear skew-symmetric identity of an octonion algebra over such a field is a consequence of an identity of degree \(5\) and two identities of ...
Shestakov, Ivan, Zhukavets, Natalia
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On Some Identities and Symmetric Functions for Balancing Numbers
In this paper, we derivenew generating functions of the product of balancing numbers, Lucas balancingnumbers and the Chebychev polynomials of the second kind by making use ofuseful properties of the symmetric functions mentioned in the paper.
Ali Boussayoud
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