On Quasi-Gamma Functions
Copyright policy )On Quasi-Gamma Functions
We define the quasi-gamma functions as the functions f: ]0,\infty[ \longrightarrow ]0,\infty[ f : ] 0 , ∞ [ ⟶ ] 0 , ∞ [ such that f(1)=1 f ( 1 ) = 1 , f(x+1)=xf(x) f ( x + 1 ) = x f ( x ) for every x>0 x > 0 , and f 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} Q of these functions.
gamma function, Convex functions and convex programs in convex geometry, Convex functions, Quasi-gamma function, Gamma function, 1202 Análisis y análisis funcional, Quasi-convex function, Gamma, beta and polygamma functions, Convexity of real functions in one variable, generalizations, quasi-gamma function, quasi-convex function, 120210 Funciones de variables reales
gamma function, Convex functions and convex programs in convex geometry, Convex functions, Quasi-gamma function, Gamma function, 1202 Análisis y análisis funcional, Quasi-convex function, Gamma, beta and polygamma functions, Convexity of real functions in one variable, generalizations, quasi-gamma function, quasi-convex function, 120210 Funciones de variables reales
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