Results 11 to 20 of about 2,303,487 (288)
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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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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Skew-symmetric identities of octonions
Journal of Pure and Applied Algebra, 2009 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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Identities of the left-symmetric Witt algebras [PDF]
International Journal of Algebra and Computation, 2016 Let [Formula: see text] be the polynomial algebra over a field [Formula: see text] of characteristic zero in the variables [Formula: see text] and [Formula: see text] be the left-symmetric Witt algebra of all derivations of [Formula: see text] [D. Burde, Left-symmetric algebras, or pre-Lie algebras in geometry and physics, Cent. Eur. J. Math.
Kozybaev, Daniyar, Umirbaev, Ualbai
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Symmetric identities on Bernoulli polynomials [PDF]
Journal of Number Theory, 2009 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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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 IDENTITIES FOR DEGENERATE q-POLY-GENOCCHI NUMBERS AND POLYNOMIALS
South East Asian J. of Mathematics and Mathematical Sciences, 2023 In the present article, we introduce a new class of degenerate q-poly- Genocchi polynomials and numbers including q-logarithm function. We derive some relations with this polynomials and the Stirling numbers of the second kind and investigate some ...
Mohd Nadeem, W. Khan
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Applications of Symmetric Identities for Apostol-Bernoulli and Apostol-Euler Functions
Symmetry, 2023 In this paper, we perform a further investigation on the Apostol–Bernoulli and Apostol–Euler functions introduced by Luo. By using the Fourier expansions of the Apostol–Bernoulli and Apostol–Euler polynomials, we establish some symmetric identities for ...
Yuan He
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Mathematics, 2020 In this paper, we introduce two-variable partially degenerate Hermite polynomials and get some new symmetric identities for two-variable partially degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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The involutive system of higher-spin equations
Nuclear Physics B, 2021 We revisit the problem of consistent free propagation of higher-spin fields in nontrivial backgrounds, focusing on symmetric tensor(-spinor)s. The Fierz-Pauli equations for massive fields in flat space form an involutive system, whose algebraic ...
Rakibur Rahman
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