On the derivative of canonical products

Morris Marden

Vol. 24 (1968), No. 2, 331–339

DOI: 10.2140/pjm.1968.24.331

Abstract

In this paper we study an entire function of genus p that has the canonical product form

For the derivative f′ of such a function we develop some results analogous to the theorems of Lucas and Jensen for polynomials, as well as some results in the case that all but one a_j lie on a prescribed set.

Mathematical Subject Classification

Primary: 30.55

Milestones

Received: 22 June 1967

Published: 1 February 1968