Differential operators and entire functions with simple real zeros |
| |
| Authors: | DA Cardon SA de Gaston |
| |
| Institution: | Department of Mathematics, Brigham Young University, Provo, UT 84602, USA |
| |
| Abstract: | Let ? and f be functions in the Laguerre-Pólya class. Write ?(z)=e−αz2?1(z) and f(z)=e−βz2f1(z), where ?1 and f1 have genus 0 or 1 and α,β?0. If αβ<1/4 and ? has infinitely many zeros, then ?(D)f(z) has only simple real zeros, where D denotes differentiation. |
| |
| Keywords: | Differential operators Zeros of entire functions Laguerre-Pó lya class Simple zeros |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
