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A value distribution result related to Hayman's alternative
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Motivated by Bloch's principle, we prove a value distribution result for meromorphic functions which is related to Hayman's alternative in certain sense.
Abstract
Motivated by Bloch's principle, we prove a value distribution result for meromorphic functions which is related to Hayman's alternative in certain sense.
참고문헌 (11)
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- K. S. Charak, "Two normality criteria and counterexamples to the converse of Bloch's principle", Kodai Math. J, 38(3), pp.672~686 (2015)
- W. Cherry, "Nevanlinna's Theory of Value Distribution, Springer Monographs in Mathematics" (2001), Springer-Verlag
- W. K. Hayman, "Meromorphic Functions, Oxford Mathematical Monographs" (1964), Clarendon Press
- W. K. Hayman, "Picard values of meromorphic functions and their derivatives", Ann. of Math. (2), 70, pp.9~42 (1959)
- Y. X. Ku, "A criterion for normality of families of meromorphic functions", Sci. Sinica, 1979, pp.267~274 (1979)
- I. Lahiri, "A simple normality criterion leading to a counterexample to the converse of the Bloch principle", New Zealand J. Math, 34(1), pp.61~65 (2005)
- L. A. Rubel, "Four counterexamples to Bloch's principle", Proc. Amer. Math. Soc, 98(2), pp.257~260 (1986)
- J. L. Schi, "Normal Families" (1993), Springer-Verlag
- W. Schwick, "On Hayman's alternative for families of meromorphic functions", Complex Variables Theory Appl, 32(1), pp.51~57 (1997)
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