Lee-Chae Jang, Taekyun Kim, Hong Kyung Pak
Proc. Japan Acad. Ser. A Math. Sci. 77 (8), 139-141, (Oct. 2001) DOI: 10.3792/pjaa.77.139
KEYWORDS: $q$-Euler number, $q$-analogue of Dirichlet's series, 11B68
In [1, 2], L. Carlitz constructed a $q$-Eulerian numbers, by using $q$-difference operator. In this paper, we give another constructions of a $q$-Euler numbers, which are different than his $q$-Euler numbers (see [1], [2]). By using our $q$-Euler numbers, we can investigate the relations between $q$-Euler numbers and $q$-extension of Genocchi numbers.
