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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 4, Pages 649-654
doi:10.1155/S0161171281000483

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

Abstract

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.