a1 Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801, U.S.A.
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.
(Received September 29 1983)
(Revised April 03 1984)