Wallis' sequence estimated accurately using an alternating series

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• 作者：Vito Lampret ^{vito.lampret@guest.arnes.si" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 26D20 ; 40A25 ; 41A60 ; secondary ; 11Y60 ; 11Y99 ; 65B15
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：172
• 期：Complete
• 页码：256-269
• 全文大小：394 K

文摘

An asymptotic approximation of Wallis' sequence 7631bd22d2adb84a0564bb92157">60" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0022314X16302220-si1.gif">$m\mapsto W_m:=\prod _{k=1}^m\frac{4k^2}{4k^2-1}$ is presented as where and where Parameters m and q   control the error factor exp⁡(r_q(m))$\exp (r_q(m))$.