Journal of Inequalities and Applications 
Volume 6 (2001), Issue 4, Pages 463-471
doi:10.1155/S1025583401000285

Inequalities for zeros of entire functions

M. I. Gil’

Department of Mathematics, Ben Gurion University of Negev, P.O. Box 653, Beer-Sheva 84105, Israel

Received 8 December 1999; Revised 3 March 2000

Abstract

Let f be an entire function and zk(f)(k=1,2,) be the zeros of f. Inequalities for the sums k=1j|zk(f)|1(j=1,2,) are derived. Under some restrictions they improve the Hadamard theorem.