A Note on the Euler and Genocchi Numbers
Séminaire lotharingien de combinatoire, Tome 24 (1990)
Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website
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 paper has been finally published under the title "Further results on the Euler and Genocchi numbers" in Aequationes Math. 47 (1994), 31-42.
@article{SLC_1990_24_a3,
author = {Dominique Dumont and Jiang Zeng},
title = {A {Note} on the {Euler} and {Genocchi} {Numbers}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {24},
year = {1990},
url = {http://geodesic.mathdoc.fr/item/SLC_1990_24_a3/}
}
Dominique Dumont; Jiang Zeng. A Note on the Euler and Genocchi Numbers. Séminaire lotharingien de combinatoire, Tome 24 (1990). http://geodesic.mathdoc.fr/item/SLC_1990_24_a3/