International Journal of Mathematics and Mathematical Sciences 
Volume 6 (1983), Issue 3, Pages 597-604
doi:10.1155/S016117128300054X

A note on solutions of Schiffer's differential equation

Ronald J. Leach

 Department of Mathematics, Howard University, Washington, D.C. 20059, USA
Received 4 February 1982; Revised 20 August 1982

Abstract

We consider Schiffer's differential equation for functions in the class of normalized univalent functions which maximize the nth¯ coefficient. By considering a class of functionals converging to the nth¯ coefficient functional, we determine some additttional symmetries that extremal functions possess.