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On normal families and a result of Drasin

  • J. K. Langley (a1)

We prove the following: suppose that a and b are complex numbers, with a non-zero, and that n is an integer not less than 5. Then, if F is a family of functions meromorphic in a plane domain Dsuch that, for each f in F, the equation

has no solutions in D, then F is normal in D.

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1 D. Drasin . Normal families and the Nevanlinna theory. Acta Math. 122 (1969), 231263.

2 W. K. Hayman . Picard values of meromorphic functions and their derivatives. Ann. of Math. 70 (1959), 942.

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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