Results 1 to 10 of about 9,947 (289)
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
Taekyun Kim, Dae Kim, Gwan-Woo Jang
exaly +5 more sources
From Symmetric Functions to Partition Identities
Axioms, 2023 In this paper, we show that some classical results from q-analysis and partition theory are specializations of the fundamental relationships between complete and elementary symmetric functions.
Mircea Merca
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Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group
Mathematics, 2018 In the paper, the authors present some symmetric identities involving the Stirling polynomials and higher order Bernoulli polynomials under all permutations in the finite symmetric group of degree n.
Dongkyu Lim, Feng Qi
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Group identities on symmetric units
Journal of Algebra, 2009 Let F be an infinite field of characteristic different from 2, G a group and * an involution of G extended by linearity to an involution of the group algebra FG.
Antonio Giambruno +2 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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Symmetric linear operator identities in quasigroups [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2017 summary:Let $G$ be a quasigroup. Associativity of the operation on $G$ can be expressed by the symbolic identity $R_x L_y = L_y R_x$ of left and right multiplication maps; likewise, commutativity can be expressed by the identity $L_x=R_x$.
Akhtar, Reza, Akhtar Reza
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On Symmetric Identities of Carlitz’s Type q-Daehee Polynomials
Discrete Dynamics in Nature and Society, 2019 In this paper, we study Carlitz’s type q-Daehee polynomials and investigate the symmetric identities for them by using the p-adic q-integral on Zp under the symmetry group of degree n.
Won Joo Kim +2 more
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Skew-Symmetric Differential Operatorsand Combinatorial Identities
Monatshefte Fur Mathematik, 1999 In this paper, we classify all one-function skew-symmetric and super skew-symmetric differential operators by four combinatorial identities related to hyperbolic ...
Xu Xiaoping
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Standard identities for skew-symmetric matrices
Linear Algebra and Its Applications, 2008 Let n be a positive, even integer and let Kn(F) denote the subspace of skew-symmetric matrices of Mn(F), the full matrix algebra with coefficients in a field F. A theorem of Kostant states that Kn(F) satisfies the (2n-2)-fold standard identity s2n-2.
Hill, Jordan Dale, Jordan Dale Hill
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Skew-symmetric identities of octonions
Journal of Pure and Applied Algebra, 2008 Quadratic alternative superalgebras are introduced and their super-identities and central functions on one odd generator are described. As a corollary, all multilinear skew-symmetric identities and central polynomials of octonions are classified.
Natalia Zhukavets +3 more
core +3 more sources