Inequalities and asymptotic expansions associated with the Wallis sequence

نویسندگان

  • Long Lin
  • Chao-Ping Chen
چکیده

We present the asymptotic expansions of functions involving the ratio of gamma functions and provide formulas for determining the coefficients of the asymptotic expansions. As consequences, we obtain the asymptotic expansions of the Wallis sequence. Also, we establish inequalities for the Wallis sequence.

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تاریخ انتشار 2014