A note on $q$-Euler and Genocchi numbers
Kim, Taekyun ; Jang, Lee-Chae ; Pak, Hong Kyung
Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, p. 139-141 / Harvested from Project Euclid
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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.
Publié le : 2001-10-14
Classification:  $q$-Euler number,  $q$-analogue of Dirichlet's series,  11B68 
@article{1148393021,
     author = {Kim, Taekyun and Jang, Lee-Chae and Pak, Hong Kyung},
     title = {A note on $q$-Euler and Genocchi numbers},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {77},
     number = {10},
     year = {2001},
     pages = { 139-141},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393021}
}

Kim, Taekyun; Jang, Lee-Chae; Pak, Hong Kyung. A note on $q$-Euler and Genocchi numbers. Proc. Japan Acad. Ser. A Math. Sci., Tome 77 (2001) no. 10, pp.  139-141. http://gdmltest.u-ga.fr/item/1148393021/