Geodesic
On Quasi-Gamma Functions
Journal of convex analysis, Tome 21 (2014) no. 3, pp. 765-783.

Voir la notice de l'article provenant de la source Heldermann Verlag

We define the quasi-gamma functions as the functions $f: ]0,\infty[ \longrightarrow ]0,\infty[$ such that $f(1)=1$, $f(x+1)=xf(x)$ for every $x>0$, and $f$ is quasi-convex. The main example of quasi-gamma function is the gamma function defined by Euler. We study some properties of the quasi-gamma functions and of the class ${\emph Q}$ of these functions.
Classification : 26A51, 33B15, 52A41
Mots-clés : Gamma function, quasi-gamma function, quasi-convex function 
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T. Bermúdez; A. Martinón; K. Sadarangani. On Quasi-Gamma Functions. Journal of convex analysis, Tome 21 (2014) no. 3, pp. 765-783. http://geodesic.mathdoc.fr/item/JCA_2014_21_3_JCA_2014_21_3_a9/