Journal of Inequalities and Applications
Volume 6 (2001), Issue 4, Pages 463-471

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

Copyright © 2001 M. I. Gil’. 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.


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.