Self-replication and Borwein-like algorithms
Guillera, Jesús
Original · EN
Using a self-replicating method, we generalize with a free parameter some Borwein algorithms for the number π. This generalization includes values of the Gamma function like Γ(1/3), Γ(1/4) and of course Γ(1/2)=√π. In addition, we give new rapid algorithms for the perimeter of an ellipse.
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