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Unitary representations of a loop ax+b group, Wiener measure and Gamma-function
Unitary representations loop ax+b group Wiener measure Gamma-function
2011/2/24
We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to ...
Some completely monotonic functions involving the $q$-gamma function
monotonic functions the $q$-gamma function
2010/11/19
We present some completely monotonic functions involving the $q$-gamma function that are inspired by their analogues involving the gamma function.
In this paper we establish some generalized double inequalities involving the q- gamma function.
A Monotonicity Property of the Gamma Function
A Geometrical Proof of a New Inequality for the Gamma Function
Gamma function Hypergeometric function Inequalities
2008/7/3
Using the inclusions between the unit balls for the p-norms, we obtain a new inequality for the gamma function.
By means of the convex properties of function , we obtain a new proof of a generalization of a double inequality on the Euler gamma function, obtained by Jozsef Sándor.
A Note on Certain Inequalities for the Gamma Function
Euler gamma function Digamma function
2008/7/3
We obtain a new proof of a generalization of a double inequality on the Euler gamma function, obtained by C. Alsina and M. S. Tomas [1].
An Interesting Double Inequality for Euler's Gamma Function
Gamma function Psi function Inequalities Polygamma function
2008/7/3
An Interesting Double Inequality for Euler's Gamma Function.
Geometric Convexity of a Function Involving Gamma Function and Applications to Inequality Theory
Gamma function Geometrically Convex function Wallis' inequality Application Inequality
2008/7/1
In this paper, the geometric convexity of a function involving gamma function is studied, as applications to inequality theory, some important inequalities which improve some known inequalities, inclu...
Inequalities for the Gamma Function.
Monotonicity and Concavity Properties of Some Functions Involving the Gamma Function with Applications
Gamma function Monotonicity Concavity Equivalence
2008/6/30
In this article, we give the monotonicity and concavity properties of some
functions involving the gamma function and some equivalence sequences to the
sequence n! with exact equivalence constants...
Monotonicity and Convexity for the Gamma Function.
Monotonicity Results for the Gamma Function.
Refinements and Sharpenings of Some Double Inequalities for Bounding the Gamma Function
Inequality Refinement Sharpening Generalization Keč lić -Vasić -Alzer's double inequalities
2008/6/27
In this paper, some sharp inequalities for bounding the gamma function and the ratio of two gamma functions are established. From these, several known results are recovered, refined, extended and gen...
Some Inequalities for the $q$-Gamma Function.