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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)

  1. K. S. Charak, "Two normality criteria and the converse of the Bloch principle", J. Math. Anal. Appl, 353(1), pp.43~48 (2009)
  2. K. S. Charak, "Some normality criteria and a counterexample to the converse of Bloch's principle", Bull. Aust. Math. Soc, 95(2), pp.238~249 (2017)
  3. K. S. Charak, "Two normality criteria and counterexamples to the converse of Bloch's principle", Kodai Math. J, 38(3), pp.672~686 (2015)
  4. W. Cherry, "Nevanlinna's Theory of Value Distribution, Springer Monographs in Mathematics" (2001), Springer-Verlag
  5. W. K. Hayman, "Meromorphic Functions, Oxford Mathematical Monographs" (1964), Clarendon Press
  6. W. K. Hayman, "Picard values of meromorphic functions and their derivatives", Ann. of Math. (2), 70, pp.9~42 (1959)
  7. Y. X. Ku, "A criterion for normality of families of meromorphic functions", Sci. Sinica, 1979, pp.267~274 (1979)
  8. 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)
  9. L. A. Rubel, "Four counterexamples to Bloch's principle", Proc. Amer. Math. Soc, 98(2), pp.257~260 (1986)
  10. J. L. Schi, "Normal Families" (1993), Springer-Verlag
  11. 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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