Skip to main content
    • Aa
    • Aa

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.

Hide All
1Drasin D.. Normal families and the Nevanlinna theory. Acta Math. 122 (1969), 231263.
2Hayman W. K.. Picard values of meromorphic functions and their derivatives. Ann. of Math. 70 (1959), 942.
3Hayman W. K.. Meromorphic Functions (Oxford: Clarendon, 1964).
4Hayman W. K.. Research Problems in Function Theory (London: Athlone Press, 1967).
5 Ku, Yung-Hsing. Sur les families normales de fonctions méromorphes. Sci. Sinica 21 (1978), 431445).
6Yang L. and Chang K.. Un nouveau critère et quelques applications. Sci.Sinica 14 (1965), 1262.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

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
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 1 *
Loading metrics...

Abstract views

Total abstract views: 52 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 21st October 2017. This data will be updated every 24 hours.