Nevanlinna functions with real zeros

Details Nevanlinna functions with real zeros Nevanlinna functions with real zeros

2003-10-31

arxiv.org/abs/math/0310496v3

Illinois J. Math., 49, 3-4 (2005) 1093--1110

Mathematics

Complex Variables

20 pages, 5 figures. Some misprints corrected

Scientific paper

We show that for every non-negative integer d, there exist differential
equations w''+Pw=0, where P is a polynomial of degree d, such that some
non-trivial solution w has all zeros real.

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