An Asymptotic Formula for (1 + 1/<em>x</em>)<em>^x</em> Based on the Partition Function

DOI10.4169/amer.math.monthly.121.04.338zbMath1303.05010OpenAlexW2396853649WikidataQ58122658 ScholiaQ58122658MaRDI QIDQ2928625

Chao-Ping Chen, Junesang Choi

Publication date: 10 November 2014

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.121.04.338

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (6)

Sharp, double inequalities bounding the function (1+x)^(1/x) and a refinement of Carleman's inequality ⋮ Approximation formulas for the constant \(e\) and an improvement to a Carleman-type inequality ⋮ Padé approximant related to inequalities involving the constant \(e\) and a generalized Carleman-type inequality ⋮ On the coefficients in an asymptotic expansion of \((1 + 1/x)^x\) ⋮ An inequality involving the constant e and a generalized Carleman-type inequality ⋮ Inequalities and asymptotic formulas for \((1+1/x)^{x+a}\)

This page was built for publication: An Asymptotic Formula for (1 + 1/<em>x</em>)<em>^x</em> Based on the Partition Function