Séminaire Lotharingien de Combinatoire, B24d (1990).
[Formerly: Publ. I.R.M.A. Strasbourg, 1993, 361/S-24, p.
87-97.]
Dominique Dumont and Jiang Zeng
A Note on the Euler and Genocchi Numbers
Abstract.
We characterize the ordinary generating functions of the Genocchi and median
Genocchi numbers as unique solutions of some functional equations
and give a direct algebraic proof of several continued fraction expansions
for these functions. New relations between these numbers are also obtained.
The following version is available:
The paper has been finally published under the title
"Further results on the Euler and Genocchi numbers" in
Aequationes Math. 47 (1994), 31-42.