Eliminating a Bessel function branch cut

In an earlier post I looked in detail at a series for inverse cosine centered at 1. The function arccos(z) is multivalued in a neighborhood of 1, but the function arccos(z) / √(2 – 2z) is analytic in a neighborhood of 1. We cancel out the bad behavior of inverse cosine at 1 by dividing […] The post Eliminating a Bessel function branch cut first appeared on John D. Cook....

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