New construction of type 2 degenerate central Fubini polynomials with their certain properties
Advances in Difference Equations, 2020 Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind.
Sunil Kumar Sharma +3 more
doaj +1 more source
Note on q-extensions of Euler numbers and polynomials of higher order [PDF]
, 2007 In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted $(h,q)$-extension of Euler polynomials and numbers, by using $p$-adic q-deformed fermionic integral on $\Bbb Z_p$.
Jang, Leechae +2 more
core +2 more sources
A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]
, 2012 The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim +25 more
core +2 more sources
A study on the q-Euler numbers and the fermionic q-integrals of the product of several type $q$-Bernstein polynomials on Zp [PDF]
, 2003 In this paper, we investigate some interesting properties of q-Berstein polynomials realted to q-Euler numbers by using the fermionic q-integral on Zp.Comment: 7 ...
Kim, Taekyun
core +6 more sources
Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
Journal of Inequalities and Applications, 2009 The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type
Kyung-Won Hwang +2 more
doaj +1 more source
Sums of Products of q-Euler Polynomials and Numbers
Journal of Inequalities and Applications, 2009 We derive formulae for the sums of products of the q-Euler polynomials and numbers using the multivariate fermionic p-adic q-Volkenborn integral on ℤp.
Young-Hee Kim +2 more
doaj +1 more source
Euler Numbers and polynomials associated with zeta functions [PDF]
, 2008 In this paper we give some interesting identities between Euler numbers and zeta functions.
Kim, Taekyun
core +4 more sources
On Carlitz’s Type Modified Degenerate q‐Changhee Polynomials and Numbers
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 Recently, Dolgy‐Jang‐Kwon‐Kim introduced Carlitz’s type q‐Changhee polynomials. In this paper, we define Carlitz’s type modified degenerate q‐Changhee polynomials and investigate some interesting identities of these polynomials.
Byung Moon Kim +4 more
wiley +1 more source
Some Identities of the Frobenius-Euler Polynomials
Abstract and Applied Analysis, 2009 By using the ordinary fermionic p-adic invariant integral on ℤp, we derive some interesting identities related to the Frobenius-Euler polynomials.
Taekyun Kim, Byungje Lee
doaj +1 more source
Identities of symmetry for Euler polynomials arising from quotients of fermionic integrals invariant under S_3 [PDF]
, 2010 In this paper, we derive eight basic identities of symmetry in three variables related to Euler polynomials and alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two ...
Kim, Dae San, Park, Kyoung Ho
core +3 more sources