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
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.