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Article

Title: Bounded functions with positive real part (English)
Author: Libera, Richard J.
Author: Livingston, A. E.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 22
Issue: 2
Year: 1972
Pages: 195-209
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Category: math
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MSC: 30A34
idZBL: Zbl 0242.30009
idMR: MR0297987
DOI: 10.21136/CMJ.1972.101090
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Date available: 2008-06-09T13:56:11Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101090
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Reference: [1] C. Carathéodory: Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen.Rend. Cire. Mat. Palermo, 32 (1911), 193 - 217. 10.1007/BF03014795
Reference: [2] J. Clunie: On meromorphic schlicht functions.J. London Math. Soc, 34 (1959), 215-216. Zbl 0087.07704, MR 0107009, 10.1112/jlms/s1-34.2.215
Reference: [3] R. M. Goel: A class of close-to convex functions.Czechoslovak Math. J., 18 (93), (1968) 104-116. Zbl 0165.09403, MR 0227382
Reference: [4] W. Janowski: On the radius of starlikeness of some families of regular functions.Bull. de I'Acad. Polonaise des Sciences, Ser. des sci., math. astr. et phys. XVII, (1969), 503-508. Zbl 0185.14803, MR 0254229
Reference: [5] W. Janowski: Extremal problems for a family of functions with positive real part and for some related families.Bull. de TAcad. Polonaise des Sciences, Ser. des sci., math., astr. et phys. XVII, (1969), 633-637. Zbl 0191.37401, MR 0257335
Reference: [6] J. Kaczmarski: On the coefficients of some classes of starlike functions.Bull. de I'Acad. Polonaise des Sciences, Ser. des sci., math., astr. et phys., XVII, (1969), 495-501. Zbl 0186.39803, MR 0254228
Reference: [7] R. J. Libera: Some radius of convexity problems.Duke Math. J., 31, (1964), 143-157. Zbl 0129.29403, MR 0160890, 10.1215/S0012-7094-64-03114-X
Reference: [8] R. J. Libera: Univalent a-spiral functions.Canadian J. Math., 19 (1967), 449-456. MR 0214750, 10.4153/CJM-1967-038-0
Reference: [9] Z. Nehari: Conformal mapping.(New York, 1952). Zbl 0048.31503, MR 0045823
Reference: [10] Ch. Pommerenke: On meromorphic starlike functions.Pacific J. Math., 13, (1963), 221 - 235. Zbl 0116.05701, MR 0150279, 10.2140/pjm.1963.13.221
Reference: [11] M. S. Robertson: On the theory of univalent functions.Ann. of Math., 37, (1936), 374-408. Zbl 0014.16505, MR 1503286, 10.2307/1968451
Reference: [12] R. Singh: On a class of star-like functions.J. Indian Math. Soc, XXXII, (1963), 207-213. MR 0257342
Reference: [13] J. Zamorski: About the extremal spiral schlicht functions.Ann. Polon. Math., 9 (1962), 265-273. MR 0130356, 10.4064/ap-9-3-265-273
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