A note on the Barnes-type q -Euler polynomials

Advances in Difference Equations

Jeong Gon Lee¹  Lee-Chae Jang² 

[1] Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University, Iksan, Republic of Korea;Graduate School of Education, Konkuk University, Seoul, Republic of Korea

关键词: q-Euler polynomials;    Barnes-type q-Euler polynomials;    Changhee polynomials;    Barnes-type q-Changhee polynomials;    fermionic p-adic q-integral;    11B68;    11S40;   

DOI  :  10.1186/s13662-015-0574-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the Barnes-type 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.

【 授权许可】

CC BY