# Search results for: Lee Chae Jang

Advances in Difference Equations > 2019 > 2019 > 1 > 1-15

Advances in Difference Equations > 2019 > 2019 > 1 > 1-17

*r*-central factorial numbers of the second kind and extended

*r*-central Bell polynomials were introduced and various results of them were investigated. The purpose of this paper is to further derive properties, recurrence relations and identities related to these numbers and polynomials using umbral calculus techniques. Especially, we will represent the extended

*r*-central Bell polynomials...

Advances in Difference Equations > 2019 > 2019 > 1 > 1-15

Journal of Inequalities and Applications > 2019 > 2019 > 1 > 1-8

*q*-Daehee polynomials and numbers of the second kind which can be represented as the

*p*-adic

*q*-integral. Furthermore, we investigate some properties of those polynomials and numbers.

Journal of Inequalities and Applications > 2017 > 2017 > 1 > 1-10

Advances in Difference Equations > 2017 > 2017 > 1 > 1-17

Advances in Difference Equations > 2017 > 2017 > 1 > 1-9

*q*-Bernoulli numbers and polynomials. In our paper we define the modified degenerate

*q*-Bernoulli numbers and polynomials. As part of this we investigate some of the identities and properties that are associated with...

Open Mathematics > 2017 > 15 > 1 > 1606-1617

Applied Mathematics and Computation > 2016 > 274 > C > 169-177

Advances in Difference Equations > 2016 > 2016 > 1 > 1-10

Advances in Difference Equations > 2016 > 2016 > 1 > 1-8

*q*-Changhee polynomials and numbers. In this paper, we consider the Appell-type degenerate

*q*-Changhee polynomials and give some new and explicit identities related to these polynomials

Applied Mathematics and Computation > 2015 > 269 > C > 809-815

Advances in Difference Equations > 2015 > 2015 > 1 > 1-8

*q*-Euler numbers was introduced by Kim (Russ. J. Math. Phys. 20(1):33-38, 2013) and Araci

*et al.*have also studied this theorem for

*q*-Genocchi numbers (see Araci

*et al.*in Appl. Math. Comput. 247:780-785, 2014) based on the work of Kim

*et al.*In this paper, we give the corresponding Von Staudt-Clausen theorem for the weighted

*q*-Genocchi numbers and also...

Advances in Difference Equations > 2015 > 2015 > 1 > 1-8

*q*-Bernoulli polynomials and numbers and investigate some identities of them. Furthermore, we discuss some identities of higher order Barnes-type

*q*-Euler polynomials and numbers.

Advances in Difference Equations > 2015 > 2015 > 1 > 1-7

*q*-Euler polynomials which are derived from the fermionic

*p*-adic

*q*-integrals and investigate some identities of these polynomials. Furthermore, we define the Barnes-type

*q*-Changhee polynomials and numbers, and we derive some identities related with the Barnes-type

*q*-Euler polynomials and the Barnes-type

*q*-Changhee polynomials.

Journal of Inequalities and Applications > 2014 > 2014 > 1 > 1-13

*g*-integral, we define...

Fuzzy Sets and Systems > 2013 > 222 > Complete > 45-57

Information Sciences > 2012 > 183 > 1 > 151-158

Journal of Inequalities and Applications > 2012 > 2012 > 1 > 1-8

*q*-Bernoulli numbers and polynomials with weight

*α*by using the bosonic

*q*-integral on . From the construction of the twisted

*q*-Bernoulli numbers with weight

*α*, we derive some identities and relations.

**MSC:**11B68, 11S40, 11S80.

Journal of Inequalities and Applications > 2011 > 2011 > 1 > 1-6

*q*-Bernoulli numbers using

*p*-adic

*q*-integral on ℤ

_{ p }. From the construction of the twisted Carlitz's

*q*-Bernoulli numbers, we investigate some properties for the twisted Carlitz's

*q*-Bernoulli numbers. Finally, we give some relations between the twisted Carlitz's

*q*-Bernoulli numbers and

*q*-Bernstein polynomials.