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- W2530991933 abstract "An asymptotic approximation of Wallis' sequence m↦Wm:=∏k=1m4k24k2−1 is presented asWm=mπ2m+1exp(2σq(m))⋅exp(rq(m)), whereσq(x):=∑i=1⌊q/2⌋(1−4−i)B2ii(2i−1)⋅x2i−1(Bk are the Bernoulli coefficients), and where|rq(m)|<rq⁎(m):=2π(q−2)!3(2mπ)q−1, for any integers m≥1 and q≥2. Parameters m and q control the error factor exp(rq(m))." @default.
- W2530991933 created "2016-10-21" @default.
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- W2530991933 date "2017-03-01" @default.
- W2530991933 modified "2023-09-26" @default.
- W2530991933 title "Wallis' sequence estimated accurately using an alternating series" @default.
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- W2530991933 doi "https://doi.org/10.1016/j.jnt.2016.08.014" @default.
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