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A p-valent function with a non-normal derivative. (English) Zbl 0307.30032


MSC:

30D45 Normal functions of one complex variable, normal families
30D40 Cluster sets, prime ends, boundary behavior
30C55 General theory of univalent and multivalent functions of one complex variable
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References:

[1] Lehto, O., Virtanen, K.I.: Boundary behaviour and normal meromorphic functions. Acta math.97, 47-65 (1957) · Zbl 0077.07702 · doi:10.1007/BF02392392
[2] Lohwater, A.J.: The boundary behavior of derivatives of univalent functions. Math. Z.119, 115-120 (1971) · Zbl 0203.07701 · doi:10.1007/BF01109963
[3] McMillan, J.E.: Boundary behavior of a conformal mapping. Acta math.123, 43-67 (1969) · Zbl 0222.30006 · doi:10.1007/BF02392384
[4] Pommerenke, Ch.: Linear-Invariante Familien analytischer Funktionen. Math. Ann.155, 108-154 (1964) · Zbl 0128.30105 · doi:10.1007/BF01344077
[5] Pommerenke, Ch.: Problems in complex function theory. Bull. London math. Soc.4, 354-366 (1972) · Zbl 0265.30002 · doi:10.1112/blms/4.3.354
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