α-Convexity of Schlicht functions |
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Authors: | V V Chernikov |
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Institution: | (1) Tomsk State University, USSR |
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Abstract: | Upper and lower bounds are obtained for the radius of-convexity, R, of the schlicht within ¦z¦< 1 functions g(z), g(0)=0, and g(0)=1, for values ranging from 0 to 0.313.... The exact value of R is determined for 0.313... < 1. The results constitute the solution to a problem recently posed by the Roumanianmathematician P. T. Mocanu 1].Translated from Matematicheskie Zametki, Vol. 11, No. 2, pp. 227–232, February, 1972. |
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