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arXiv · 2205.12530

Monotonicity, convexity, and inequalities for functions involving gamma function

Peipei Du·Gendi Wang
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Abstract

In this paper, we study some properties such as the monotonicity, logarithmically complete monotonicity, logarithmic convexity, and geometric convexity, of the combinations of gamma function and power function. The results we obtain generalize some related known results for parameters with specific values.

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Peipei Du, Gendi Wang. 2022-05-25. Monotonicity, convexity, and inequalities for functions involving gamma function. https://arxiv.org/abs/2205.12530

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