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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 ...
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.
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.
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.
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.
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.
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.

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