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

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.

Bibliographic Details
Main Author: C. L. Prather
Format: Article
Language:English
Published: Hindawi Limited 1981-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171281000483