Results 1 to 10 of about 2,266,070 (328)
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
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New symmetric identities of Carlitz's generalized twisted q-Bernoulli polynomials under S3 [PDF]
Mathematica Moravica, 2016 In this paper, the authors consider the Carlitz's generalized twisted q-Bernoulli polynomials attached to χ and investigate some novel symmetric identities for these polynomials arising from the p-adic q-integral on Zp under S3.
Duran Ugur, Acikgoz Mehmet
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Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials. [PDF]
Springerplus, 2016 In 2008, Liu and Wang established various symmetric identities for Bernoulli, Euler and Genocchi polynomials. In this paper, we extend these identities in a unified and generalized form to families of Hermite–Bernoulli, Euler and Genocchi polynomials ...
Khan WA, Haroon H.
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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.
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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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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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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Symmetric Identities for Euler Polynomials [PDF]
Graphs and Combinatorics, 2010 9 pages. Accepted by Graphs and Combinatorics.
Zhang, Yong, Sun, Zhi-Wei, Pan, Hao
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Some Symmetric Identities Involving the Stirling Polynomials Under the Finite Symmetric Group [PDF]
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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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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