International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1983 / Article

Open Access

Volume 6 |Article ID 686397 | https://doi.org/10.1155/S016117128300054X

Ronald J. Leach, "A note on solutions of Schiffer's differential equation", International Journal of Mathematics and Mathematical Sciences, vol. 6, Article ID 686397, 8 pages, 1983. https://doi.org/10.1155/S016117128300054X

A note on solutions of Schiffer's differential equation

Received04 Feb 1982
Revised20 Aug 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.

Copyright © 1983 Hindawi Publishing Corporation. 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.


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