Real entire functions with real zeros and a conjecture of Wiman

Details Real entire functions with real zeros and a conjecture of Wiman Real entire functions with real zeros and a conjecture of Wiman

2002-07-25

arxiv.org/abs/math/0207229v1

Geom. Funct. Anal. 13 (2003), 975-991.

Mathematics

Complex Variables

17 pages, LaTeX

Scientific paper

10.1007/s00039-003-0437-4

If f is a real entire function and ff" has only real zeros then f belongs to
the Laguerre-Polya class, the closure of the set of real polynomials with real
zeros.
This result completes a long line of development originating from a
conjecture of Wiman in 1914.

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