Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503287 | Journal of Mathematical Analysis and Applications | 2005 | 8 Pages |
Abstract
Let Ï and f be functions in the Laguerre-Pólya class. Write Ï(z)=eâαz2Ï1(z) and f(z)=eâβz2f1(z), where Ï1 and f1 have genus 0 or 1 and α,β⩾0. If αβ<1/4 and Ï has infinitely many zeros, then Ï(D)f(z) has only simple real zeros, where D denotes differentiation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
D.A. Cardon, S.A. de Gaston,