Continued Fractions of Tails of Hypergeometric Series
نویسندگان
چکیده
The tails of the Taylor series for many standard functions such as arctan and log can be expressed as continued fractions in a variety of ways. A surprising side effect is that some of these continued fractions provide a dramatic acceleration for the underlying power series. These investigations were motivated by a surprising observation about Gregory’s series. Gregory’s series for π, truncated at 500, 000 terms gives to forty places
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عنوان ژورنال:
- The American Mathematical Monthly
دوره 112 شماره
صفحات -
تاریخ انتشار 2005