On the Class Gamma and Related Classes of Functions
On the Heisenberg-Weyl inequality.
On the integral transformation associated with the product of gamma-functions.
On the optimality of a characterization theorem for the gamma function using the multiplication formula.
On the -analogue of gamma functions and related inequalities.
On the q-Konhauser biorthogonal polynomials.
Permanence of moment estimates for p-products of convex bodies
It is shown that two inequalities concerning second and fourth moments of isotropic normalized convex bodies in ℝⁿ are permanent under forming p-products. These inequalities are connected with a concentration of mass property as well as with a central limit property. An essential tool are certain monotonicity properties of the Γ-function.
Pick functions related to entire functions having negative zeros.
Problem of uniqueness in the renewal process generated by the uniform distribution.
Proof of the best bounds in Wallis' inequality.
Properties of the L function
Refinements and sharpenings of some double inequalities for bounding the gamma function.
Some applications of a differential subordination.
Some Characterization of the -Gamma Function by Functional Equations. Nota I
In questo lavoro, suddiviso in una Nota I e in una Nota II, si estendono alle funzioni -gamma i classici risultati sulla determinazione univoca della funzione gamma tramite equazioni funzionali; si introduce poi una -generalizzazione di una funzione fattoriale intera, e se ne indicano le principali proprietà.
Some Characterization of the -Gamma Function by Functional Equations. Nota II
In questo lavoro, suddiviso in una Nota I e in una Nota II, si estendono alle funzioni -gamma i classici risultati sulla determinazione univoca della funzione gamma tramite equazioni funzionali; si introduce poi una -generalizzazione di una funzione fattoriale intera, e se ne indicano le principali proprietà.
Some characterizations of q-factorial functions.
Some characterizations of q-factorial functions.
Some Characterizations of the Gamma Function Involving the Notion of Complete Monotonicity.
Some Completely Monotonic Properties for the (p, g)-Gamma Function
MSC 2010: 33B15, 26A51, 26A48
Some generalized inequalities involving the -gamma function.