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A rotation theorem in the class of bounded univalent functions
Authors:V. V. Goryainov
Affiliation:1. Applied Mathematics and Mechanics Institute, Academy of Sciences of the Ukrainian SSR, USSR
Abstract:Let SM, M > 1, be the class of functionsf(z) which are regular and univalent in the disk ¦z¦ < 1 and satisfy the conditionsf(0) = 0,f'(0) = 1, and ¦f(z)¦ < M. In the present note we will obtain an exact estimate for the argument of the derivative of a function of the class SM.
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