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 , ). By using our $q$-Euler numbers, we can investigate the relations between $q$-Euler numbers and $q$-extension of Genocchi numbers.
"A note on $q$-Euler and Genocchi numbers." Proc. Japan Acad. Ser. A Math. Sci. 77 (8) 139 - 141, Oct. 2001. https://doi.org/10.3792/pjaa.77.139