A completely monotonic function involving -gamma and -digamma functions

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• 作者：Ahmed Salem ^{ahmedsalem74@hotmail.com}
• 关键词：Completely monotonic functions ; Inequalities ; q-gamma function ; q-digamma function
• 刊名：Journal of Approximation Theory
• 出版年：2012
• 期刊代码：71_00219045
• 类别：mt
• 出版时间：July, 2012
• 卷：164
• 期：7
• 页码：971-980
• 文件大小：176 K

摘要

In this paper, the monotonicity property for a function involving -gamma and -digamma functions is investigated for . An application of this result provides a sharp inequality for the -gamma function. Our results are shown to be a generalization of results which were obtained by Alzer and Batir (2007) .