# On a degenerate $q$-Euler polynomials and numbers with weight

Volume 20, Issue 3, pp 216--224
Publication Date: December 10, 2019 Submission Date: August 12, 2019 Revision Date: November 05, 2019 Accteptance Date: November 13, 2019
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### Authors

Guhyun Na - Department of Mathematics Education, Daegu University, 38453, Republic of Korea. Yunju Cho - Department of Mathematics Education, Daegu University, 38453, Republic of Korea. Jin-Woo Park - Department of Mathematics Education, Daegu University, 38453, Republic of Korea.

### Abstract

In this paper, we define the $p$-adic $q$-integral on ${\mathbb{Z}}_p$ with weight which is a generalization of Kim's definition in [T. Kim, Russ. J. Math. Phys., ${\bf 9}$ (2002), 288--299], and derive some new and interesting identities related to degenerate $q$-Euler polynomials with weight and some special functions.

### Share and Cite

##### ISRP Style

Guhyun Na, Yunju Cho, Jin-Woo Park, On a degenerate $q$-Euler polynomials and numbers with weight, Journal of Mathematics and Computer Science, 20 (2020), no. 3, 216--224

##### AMA Style

Na Guhyun, Cho Yunju, Park Jin-Woo, On a degenerate $q$-Euler polynomials and numbers with weight. J Math Comput SCI-JM. (2020); 20(3):216--224

##### Chicago/Turabian Style

Na, Guhyun, Cho, Yunju, Park, Jin-Woo. "On a degenerate $q$-Euler polynomials and numbers with weight." Journal of Mathematics and Computer Science, 20, no. 3 (2020): 216--224

### Keywords

• $p$-Adic $q$-integral with weight
• degenerate $q$-Euler polynomials
• $q$-Euler polynomials with weight

•  33E20
•  05A30
•  11B65
•  11S05

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