A Note on Hölder Type Inequality for the Fermionic p-Adic Invariant q-Integral
The purpose of this paper is to find Hölder type inequality for the fermionic p-adic invariant q-integral which was defined by Kim (2008).
Lee-Chae Jang
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Symmetry Fermionic 𝑝-Adic 𝑞-Integral on ℤ𝑝 for Eulerian Polynomials [PDF]
Kim et al. (2012) introduced an interesting p-adic analogue of the Eulerian polynomials. They studied some identities on the Eulerian polynomials in connection with the Genocchi, Euler, and tangent numbers.
Daeyeoul Kim, Min-Soo Kim
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On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on $$ {\mathbb{Z}}_{p} $$ Z p [PDF]
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Feng Qi +2 more
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Some Properties on the q-Euler Numbers and Polynomials [PDF]
We give some new identities on q-Euler numbers and polynomials by using the fermionic p-adic integral on ℤp.
T. Kim, S.-H. Lee
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On the extended Kimʼs p -adic q -deformed fermionic integrals in the p -adic integer ring
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Serkan Araci +2 more
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q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ℤp
The main purpose of this paper is to present a systemic study of some families of multiple Genocchi numbers and polynomials. In particular, by using the fermionic p-adic invariant integral on ℤp, we construct p-adic Genocchi numbers and polynomials of ...
Leechae Jang, Taekyun Kim
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On the Fermionic p-adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials [PDF]
In this paper, we give a fermionic p-adic integral representions of Benstein polynomials associated with Euler numbers and polynomials. Finally, we give some interesting identities for the Euler numbers by using the properties of our integral represention.
T. Kim, J. Choi, Y. H. Kim, C. S. Ryoo
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Extended q-euler numbers and polynomials associated with fermionic p-adic q-integral on Z p
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J Y Sug
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The main purpose of this paper is to prove an identity of symmetry for the Frobenius-Euler polynomials.
Taekyun Kim
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Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions [PDF]
In 2008, Jang et al. constructed generating functions of the multiple twisted Carlitz's type q-Bernoulli polynomials and obtained the distribution relation for them.
Min-Soo Kim, Taekyun Kim, Jin-Woo Son
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