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

2014/01/10 by Yue Hu, Hu, Yue, Cristinel Mortici +1
Mathematics · #26D15 #33B15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:26D15 #msc:33B15

paper · pdf · doi:10.48550/arxiv.1401.2236

4 pages

arxiv created 2014/01/10 · arxiv updated 2014/01/13

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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