Sharp inequalities and asymptotic series of a product related to the Euler-Mascheroni constant

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• 作者：Chao-Ping Chen ^{chenchaoping@hpu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：41A60 ; 11Y60
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：165
• 期：Complete
• 页码：314-323
• 全文大小：249 K

文摘

We derive an asymptotic series related to the constant 2314X16000846&_mathId=si1.gif&_user=111111111&_pii=S0022314X16000846&_rdoc=1&_issn=0022314X&md5=dad97b31669c54592fd154d19cc78a10" title="Click to view the MathML source">e^γ$e^{\gamma }$, where γ   denotes the Euler–Mascheroni constant. Based on the result obtained, we establish some sharp inequalities for 2314X16000846&_mathId=si1.gif&_user=111111111&_pii=S0022314X16000846&_rdoc=1&_issn=0022314X&md5=dad97b31669c54592fd154d19cc78a10" title="Click to view the MathML source">e^γ$e^{\gamma }$.