International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 4, Pages 649-654

Note on a role for entire functions of the classes P and P*

C. L. Prather

Department of Mathematics, Virginia Tech, Blacksburg 24061, Virginia, USA

Received 14 September 1980

Copyright © 1981 C. L. Prather. 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 use the B and B* operators of Levin on the Classes P and P* and a comparison principle to prove a Gauss-Lucas Theorem for differential operators. The connection with the determination of final sets for differential operators is then clarified.