Results 1 to 10 of about 780 (90)

A Note on Hölder Type Inequality for the Fermionic p-Adic Invariant q-Integral

open access: yesJournal of Inequalities and Applications, 2009
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
doaj   +4 more sources

Symmetry Fermionic 𝑝-Adic 𝑞-Integral on ℤ𝑝 for Eulerian Polynomials [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
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
doaj   +2 more sources

On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on $$ {\mathbb{Z}}_{p} $$ Z p [PDF]

open access: yesIranian Journal of Science and Technology, Transaction A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi   +2 more
exaly   +2 more sources

Some Properties on the q-Euler Numbers and Polynomials [PDF]

open access: yesAbstract and Applied Analysis, 2012
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
doaj   +3 more sources

On the extended Kimʼs p -adic q -deformed fermionic integrals in the p -adic integer ring

open access: yesJournal of Number Theory, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serkan Araci   +2 more
exaly   +4 more sources

q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ℤp

open access: yesAbstract and Applied Analysis, 2008
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
doaj   +3 more sources

On the Fermionic p-adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials [PDF]

open access: yesJournal of Inequalities and Applications, 2010
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
doaj   +4 more sources

Extended q-euler numbers and polynomials associated with fermionic p-adic q-integral on Z p

open access: yesRussian Journal of Mathematical Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J Y Sug
exaly   +4 more sources

An identity of the symmetry for the Frobenius-Euler polynomials associated with the Fermionic $p$-adic invariant $q$-integrals on ${\bf Z}_p$

open access: yesRocky Mountain Journal of Mathematics, 2011
The main purpose of this paper is to prove an identity of symmetry for the Frobenius-Euler polynomials.
Taekyun Kim
exaly   +5 more sources

Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions [PDF]

open access: yesAbstract and Applied Analysis, 2008
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
doaj   +2 more sources

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