Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

On normal families and a result of Drasin

J. K. Langleya1

a1 Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801, U.S.A.

Synopsis

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

S0308210500013548_eqnU1

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

(Received September 29 1983)

(Revised April 03 1984)