Let F = x - 1/3 x³ + 1/5 x⁵ - ...
P = 2x /(1 - x²)
Q = p⁻¹

Prove the functional relation F ○ Q = 1/2 F

Book: Applied and Computational Complex Analysis. Volume 1.
Power Series - Integration - Conformal Mapping - Location of Zeros
By Peter Henrici

Note: Take a look on chapter one section 9 (the Lagrange Burmann Theorem)

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