×

A necessary and sufficient condition for Bloch functions. (English) Zbl 0408.30038


MSC:

30D45 Normal functions of one complex variable, normal families

Citations:

Zbl 0292.30029
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] J. M. Anderson, J. Clunie, and Ch. Pommerenke, On Bloch functions and normal functions, J. Reine Angew. Math. 270 (1974), 12 – 37. · Zbl 0292.30030
[2] W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. · Zbl 0115.06203
[3] Peter Lappan, A criterion for a meromorphic function to be normal, Comment. Math. Helv. 49 (1974), 492 – 495. · Zbl 0292.30029 · doi:10.1007/BF02566744
[4] A. J. Lohwater and Ch. Pommerenke, On normal meromorphic functions, Ann. Acad. Sci. Fenn. Ser. A I 550 (1973), 12. · Zbl 0275.30027
[5] Walter Rudin, Real and complex analysis, 2nd ed., McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1974. McGraw-Hill Series in Higher Mathematics. · Zbl 0278.26001
[6] Lawrence Zalcman, A heuristic principle in complex function theory, Amer. Math. Monthly 82 (1975), no. 8, 813 – 817. · Zbl 0315.30036 · doi:10.2307/2319796
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.