| Title:
|
Extremal problems for functions of positive real part with a fixed coefficient and applications (English) |
| Author:
|
Tuan, P. D. |
| Author:
|
Anh, V. V. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1980 |
| Pages:
|
302-312 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
30C45 |
| MSC:
|
30C75 |
| idZBL:
|
Zbl 0445.30006 |
| idMR:
|
MR566054 |
| DOI:
|
10.21136/CMJ.1980.101679 |
| . |
| Date available:
|
2008-06-09T14:39:18Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101679 |
| . |
| Reference:
|
[1] P. Duren: Subordination.Lecture Notes in Mathematics, Springer-Verlag, Vol 599, 1977. Zbl 0372.30013, MR 0454001, 10.1007/BFb0096821 |
| Reference:
|
[2] M. Finkelstein: Growth estimates of convex functions.Proc. Amer. Math. Soc., 18 (1967), 412-418. Zbl 0165.09701, MR 0214749, 10.1090/S0002-9939-1967-0214749-8 |
| Reference:
|
[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. 10.1073/pnas.6.6.300 |
| Reference:
|
[4] W. Janowski: Some extremal problems for certain families of analytic functions I.Ann. Polon. Math., 28 (1973), 298-326. Zbl 0275.30009, MR 0328059 |
| Reference:
|
[5] R. J. Libera, A. E. Livingston: Bounded functions with positive real part.Czechoslovak Math. J., 22 (97) (1972), 195-209. Zbl 0242.30009, MR 0297987 |
| Reference:
|
[6] С. P. McCarty: Two radius of convexity problems.Proc. Amer. Math. Soc., 42 (1974), 153-160. Zbl 0286.30005, MR 0325949, 10.1090/S0002-9939-1974-0325949-4 |
| Reference:
|
[7] Z. Nehari: Conformal mapping.McGraw-Hill Book Co., New York, 1952. Zbl 0048.31503, MR 0045823 |
| Reference:
|
[8] D. E. Tepper: On the radius of convexity and boundary distortion of Schlicht functions.Trans. Amer. Math. Soc., 150 (1970), 519-528. Zbl 0203.38404, MR 0268370, 10.1090/S0002-9947-1970-0268370-0 |
| . |
