On rational bounds for the gamma function

نویسندگان

  • Zhen-Hang Yang
  • Wei-Mao Qian
  • Yu-Ming Chu
  • Wen Zhang
چکیده

In the article, we prove that the double inequality [Formula: see text] holds for all [Formula: see text], we present the best possible constants λ and μ such that [Formula: see text] for all [Formula: see text], and we find the value of [Formula: see text] in the interval [Formula: see text] such that [Formula: see text] for [Formula: see text] and [Formula: see text] for [Formula: see text], where [Formula: see text] is the classical gamma function, [Formula: see text] is Euler-Mascheroni constant and [Formula: see text] .

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عنوان ژورنال:

دوره 2017  شماره 

صفحات  -

تاریخ انتشار 2017