A rotation theorem in the class of bounded univalent functions |
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Authors: | V. V. Goryainov |
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Affiliation: | 1. Applied Mathematics and Mechanics Institute, Academy of Sciences of the Ukrainian SSR, USSR
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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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