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arXiv · 1401.2236

On the coefficients of an expansion of $(1+1/x)^x$ related to Carleman's inequality

Yue Hu·Cristinel Mortici
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Abstract

In this note, we present new properties for a sequence arising in some refinements of Carleman's inequality. Our results extend some results of Yang [Approximations for constant e and their applications J. Math. Anal. Appl. 262 (2001) 651-659] and Alzer and Berg [some classes of completely monotonic functions Ann. Acad. Sci. Fennicae 27(2002) 445-460].

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Yue Hu, Cristinel Mortici. 2014-01-10. On the coefficients of an expansion of $(1+1/x)^x$ related to Carleman's inequality. https://arxiv.org/abs/1401.2236

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