John D. Cook1/20/2023

Bounds on power series coefficients

John
Let f be an analytic function on the unit disk with f(0) = 0 and derivative f ′(0) = 1. If f is one-to-one (injective) then this puts a strict limit on the size of the series coefficients. Let an be the nth coefficient in the power series for f centered at 0. If f is one-to-one […] The post Bounds on power series coefficients first appeared on John D. Cook .