Results 1 to 10 of about 786,832 (288)
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, Dae San Kim, Jongkyum Kwon
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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 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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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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Symmetric Identities for Euler Polynomials [PDF]
Graphs and Combinatorics, 2010 9 pages. Accepted by Graphs and Combinatorics.
Sun Zhiwei
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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 Units Satisfying a Group Identity
Journal of Algebra, 2007 Let \(U(KG)\) be the group of units of the group algebra \(KG\) of a locally finite group \(G\) over a field \(K\) of \(\text{char}(K)\neq 2\). Let \(\varphi\colon KG\to KG\) be the \(K\)-linear extension of an anti-automorphism \(\varphi\) of order \(2\) on \(G\) and set \(S_\varphi(KG)=\{u\in U(KG)\mid\varphi(u)=u\}\).
Manuel Ruiz Marin, Ann Dooms
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Bilinear Identities on Schur Symmetric Functions [PDF]
Journal of Nonlinear Mathematical Physics, 2021 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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On the Elementary Symmetric Polynomials and the Zeros of Legendre Polynomials
Journal of Mathematics, 2022 In this paper, we seek to present some new identities for the elementary symmetric polynomials and use these identities to construct new explicit formulas for the Legendre polynomials.
Maryam Salem Alatawi
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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.
Metropolis, N., Rota, Gian-Carlo
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