Results 51 to 60 of about 799 (105)
Identities Involving q‐Bernoulli and q‐Euler Numbers
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We give some identities on the q‐Bernoulli and q‐Euler numbers by using p‐adic integral equations on ℤp.
D. S. Kim +4 more
wiley +1 more source
A note on q-Bernstein polynomials
, 2010 In this paper we constructed new q-extension of Bernstein polynomials. Fron those q-Berstein polynomials, we give some interesting properties and we investigate some applications related this q-Bernstein polynomials.Comment: 13 ...
B. A. Kupershmidt +17 more
core +1 more source
Journal of Advances in Mathematics and Computer Science, 2022 p-adic analysis and their applications is used p-adic distributions, p-adic measure, p-adic integrals, p-adic L-function and other generalized functions. In addition, among the many ways to investigate and construct generating functions for special polynomials and numbers, one of the most important techniques is the p-adic Fermionic integral over ...
openaire +1 more source
On the Barnes′ Type Related to Multiple Genocchi Polynomials on ℤp
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 Using fermionic p‐adic invariant integral on ℤp, we construct the Barnes′ type multiple Genocchi numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes′ type multiple Genocchi numbers and polynomials. Moreover, we will find the Barnes′ type multiple Genocchi zeta function.
J. Y. Kang +4 more
wiley +1 more source
On the Identities of Symmetry for the ζ-Euler Polynomials of Higher Order
Advances in Difference Equations, 2009 The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate p-adic fermionic integral on ℤp.
Taekyun Kim +2 more
doaj +1 more source
Ob carlitz's type q-Euler numbers associated with the fermionic p-adic integrals on Zp
, 2010 In this paper we consider the Witt's fprmula related to Carlitz's type q-Euler numbers and polynomials.
Kim T., Kim M.-S., Ryoo C.-S.
openaire +2 more sources
Applied Mathematical Sciences, 2015 Recently, Kim Kim have given some interesting new three variable symmetric identities involving Carlitz-type q-Euler polynomials(see [5]). In this paper, we investigate some properties of symmetric identies for the modified q-Euler polynomials which are slightly different the symmetric identities of Kim Kim for the Carlitztype q-Euler polynomials.
Dmitry V. Dolgy +3 more
openaire +1 more source
Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications
Abstract and Applied Analysis, 2008 The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden +2 more
doaj +1 more source
Some New Symmetric Identities for the q-Zeta Type Functions
, 2013 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.
Araci, Serkan +3 more
core +1 more source
, 2012 The fundamental aim of this paper is to define weighted q-Hardy-littlewood-type maximal operator by means of fermionic p-adic q-invariant distribution on Zp . Also, we derive some interesting properties concerning this type maximal operator.
Araci, Serkan, Acikgoz, Mehmet
openaire +2 more sources