Sun-Jung Lee

Some Identities on the Twisted h, q -Genocchi Numbers and Polynomials Associated with q-Bernstein Polynomials

We give some interesting identities on the twisted (ℎ,𝑞)-Genocchi numbers and polynomials associated with 𝑞-Bernstein polynomials.

A new construction on the q -Bernoulli polynomials

This paper performs a further investigation on the q-Bernoulli polynomials and numbers given by Açikgöz et al. (Adv. Differ. Equ. 2010, 9, Article ID 951764) some incorrect properties are revised. It is pointed out that the definition concerning the q-Bernoulli polynomials and numbers is unreasonable. The purpose of this paper is to redefine the q-Bernoulli polynomials and numbers and correct its wrong properties and rebuild its theorems.

Some Identities on the -Genocchi Polynomials of Higher-Order and-Stirling Numbers by the Fermionic -Adic Integral on ℤ

A systemic study of some families of 𝑞-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic 𝑝-adic integral on ℤ𝑝. The study of these higher-order 𝑞-Genocchi numbers and polynomials yields an interesting 𝑞-analog of identities for Stirling numbers.

On the Symmetric Properties of Higher-Order Twisted -Euler Numbers and Polynomials

In 2009, Kim et al. gave some identities of symmetry for the twisted Euler polynomials of higher-order, recently. In this paper, we extend our result to the higher-order twisted -Euler numbers and polynomials. The purpose of this paper is to establish various identities concerning higher-order twisted -Euler numbers and polynomials by the properties of -adic invariant integral on . Especially, if , we derive the result of Kim et al. (2009).

Multivariate Twisted -Adic -Integral on Associated with Twisted -Bernoulli Polynomials and Numbers

Recently, many authors have studied twisted -Bernoulli polynomials by using the -adic invariant -integral on . In this paper, we define the twisted -adic -integral on and extend our result to the twisted -Bernoulli polynomials and numbers. Finally, we derive some various identities related to the twisted -Bernoulli polynomials.

Identities on the Bernoulli and Genocchi Numbers and Polynomials

We give some interesting identities on the Bernoulli numbers and polynomials, on the Genocchi numbers and polynomials by using symmetric properties of the Bernoulli and Genocchi polynomials.