Nevanlinna functions with real zeros
Eremenko, A. ; Merenkov, S.
Illinois J. Math., Tome 49 (2005) no. 2, p. 1093-1110 / Harvested from Project Euclid
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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 roots real.
Publié le : 2005-10-15
Classification:  34M05,  30D30 
@article{1258138128,
     author = {Eremenko, A. and Merenkov, S.},
     title = {Nevanlinna functions with real zeros},
     journal = {Illinois J. Math.},
     volume = {49},
     number = {2},
     year = {2005},
     pages = { 1093-1110},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138128}
}

Eremenko, A.; Merenkov, S. Nevanlinna functions with real zeros. Illinois J. Math., Tome 49 (2005) no. 2, pp.  1093-1110. http://gdmltest.u-ga.fr/item/1258138128/