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Migration of zeros for successive derivatives of entire functions
Authors:Arie Harel   Su Namn   Jacob Sturm
Affiliation:Department of Mathematics, National University of Singapore, Lower Kent Ridge Road, Singapore 119260 ; Department of Management Information Systems, Hannam University, Taejon, Korea ; Department of Mathematics and Computer Science, Rutgers University, Newark, New Jersey 07102
Abstract:It is shown that if $f$ is an entire function of order less than one, all of whose zeros are real, then the minimal root of $f^{(k)}$ is an increasing function of $k$ which accelerates as $k$ increases.

Keywords:Successive derivatives   entire functions   migration
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