Proceedings of the American Mathematical Society, Vol. 135, No. 11 (Nov., 2007), pp. 3641-3648 (8 pages) Let α > 0 and 0 < c ≠1 be real numbers. The inequality ...
Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...
Anderson and Qiu (1997) conjectured that the function log Γ (x+1)/x log x is concave for x > 1. In this paper we prove this conjecture. We also study the monotonicity of some functions connected with ...
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