Continued Fractions of Tails of Hypergeometric Series
Jonathan Michael Borwein, Kwok-Kwong Stephen Choi, Wilfried Pigulla · American Mathematical Monthly · 2005
A mathematical problem on continued fractions of tails of hypergeometric series is presented. The tails of the Taylor series for many standard functions such as the arctangent and the logarithm can be expressed as continued fractions in a variety of ways.