International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 3, Pages 597-604
A note on solutions of Schiffer's differential equation
Department of Mathematics, Howard University, Washington, D.C. 20059, USA
Received 4 February 1982; Revised 20 August 1982
Copyright © 1983 Ronald J. Leach. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider Schiffer's differential equation for functions in the class of
normalized univalent functions which maximize the coefficient. By considering a class of functionals converging to the coefficient functional, we determine some additttional symmetries that extremal functions possess.