Results 71 to 80 of about 799 (105)

Formulas for p-adic q-integrals including falling-rising factorials, combinatorial sums and special numbers

, 2017
The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral.
Simsek, Yilmaz
core  

On the Fermionic -adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and Polynomials

Journal of Inequalities and Applications, 2010
The purpose of this paper is to give some properties of several Bernstein type polynomials to represent the fermionic -adic integral on . From these properties, we derive some interesting identities on the Euler numbers and polynomials.
Ryoo CS, Kim T, Choi J, Kim YH
doaj  

Sums of Products of -Euler Polynomials and Numbers

Journal of Inequalities and Applications, 2009
We derive formulae for the sums of products of the -Euler polynomials and numbers using the multivariate fermionic -adic -Volkenborn integral on .
Hwang Kyung-Won, Kim Young-Hee, Kim Taekyun   +2 more
doaj  

Some identities of symmetry for q-Euler polynomials under the symmetric group of degeree n arising from fermionic p-adic q-integrals on Zp

, 2015
In this paper, we investigate some new symmetric identities for the q-Euler polynomials under the symmetric group of degree n which are derived from fermionic p-adic q-integrals on Zp.
Dolgy, Dmitry V., Kim, Dae San, Kim, Taekyun   +2 more
openaire   +2 more sources

Interpolation Functions of -Extensions of Apostol's Type Euler Polynomials

Journal of Inequalities and Applications, 2009
The main purpose of this paper is to present new -extensions of Apostol's type Euler polynomials using the fermionic -adic integral on . We define the - -Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of
Kim Young-Hee, Kim Taekyun, Hwang Kyung-Won   +2 more
doaj  

On Carlitz's Type -Euler Numbers Associated with the Fermionic -Adic Integral on

Journal of Inequalities and Applications, 2010
We consider the following problem in the paper of Kim et al. (2010): "Find Witt's formula for Carlitz's type -Euler numbers." We give Witt's formula for Carlitz's type -Euler numbers, which is an answer to the above problem.
Kim Taekyun, Ryoo Cheon-Seoung, Kim Min-Soo   +2 more
doaj  

On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on Z(p)

, 2017
In the paper, using the extended fermionic p-adic integral on Z(p), the authors find some applications of the umbral calculus. From these applications, the authors derive some identities on the weighted Euler numbers and polynomials. In other words, the authors investigate systematically the class of Sheffer sequences in connection with the generating ...
Araci, Serkan, Qi, Feng, Acikgoz, Mehmet
openaire   +1 more source

Adelic Universe and Cosmological Constant

, 2003
In the quantum adelic field (string) theory models, vacuum energy -- cosmological constant vanish. The other (alternative ?) mechanism is given by supersymmetric theories.
Makhaldiani, Nugzar
core  

Note on -Extensions of Euler Numbers and Polynomials of Higher Order

Journal of Inequalities and Applications, 2008
In 2007, Ozden et al. constructed generating functions of higher-order twisted -extension of Euler polynomials and numbers, by using -adic, -deformed fermionic integral on .
Jang Lee-Chae, Ryoo Cheon-Seoung, Kim Taekyun   +2 more
doaj  

Multivariate \(p\)-adic fermionic \(q\)-integral on \(\mathbb Z_{p}\) and related multiple zeta-type functions

, 2008
Summary: In [Abstr. Appl. Anal. 2008, Article ID 498173, 7 p. (2008; Zbl 1195.11029)], \textit{L.-C. Jang} and \textit{C.-S. Ryoo} constructed generating functions of the multiple twisted Carlitz's type \(q\)-Bernoulli polynomials and obtained the distribution relation for them.
Kim, Min-Soo, Kim, Taekyun, Son, Jin-Woo
openaire   +2 more sources