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Extremal problems for functions of positive real part with a fixed coefficient and applications
Czechoslovak Mathematical Journal, Tome 30 (1980) no. 2, pp. 302-312

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DOI : 10.21136/CMJ.1980.101679
Classification : 30C45, 30C75 
Tuan, P. D.; Anh, V. V. Extremal problems for functions of positive real part with a fixed coefficient and applications. Czechoslovak Mathematical Journal, Tome 30 (1980) no. 2, pp. 302-312. doi: 10.21136/CMJ.1980.101679
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[1] P. Duren: Subordination. Lecture Notes in Mathematics, Springer-Verlag, Vol 599, 1977. | DOI | MR | Zbl

[2] M. Finkelstein: Growth estimates of convex functions. Proc. Amer. Math. Soc., 18 (1967), 412-418. | DOI | MR | Zbl

[3] T. H. Gronwall: On the distortion in conformal mapping when the second coefficient in the mapping function has an assigned value. Proc. Nat. Acad. Sci. U.S.A., 6 (1920), 300-302. | DOI

[4] W. Janowski: Some extremal problems for certain families of analytic functions I. Ann. Polon. Math., 28 (1973), 298-326. | MR | Zbl

[5] R. J. Libera, A. E. Livingston: Bounded functions with positive real part. Czechoslovak Math. J., 22 (97) (1972), 195-209. | MR | Zbl

[6] С. P. McCarty: Two radius of convexity problems. Proc. Amer. Math. Soc., 42 (1974), 153-160. | DOI | MR | Zbl

[7] Z. Nehari: Conformal mapping. McGraw-Hill Book Co., New York, 1952. | MR | Zbl

[8] D. E. Tepper: On the radius of convexity and boundary distortion of Schlicht functions. Trans. Amer. Math. Soc., 150 (1970), 519-528. | DOI | MR | Zbl

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