Results 11 to 20 of about 2,244,428 (329)
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 involving a Sequence of Polynomials [PDF]
The Electronic Journal of Combinatorics, 2010 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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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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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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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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On Some Identities and Symmetric Functions for Balancing Numbers
Journal of New Theory, 2018 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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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 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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New Symmetric Identities Involving q-Zeta Type Functions [PDF]
, 2014 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 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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