Real entire functions with real zeros and a conjecture of Wiman

Bergweiler, Walter; Eremenko, A.; Langley, J. K.

Real entire functions with real zeros and a conjecture of Wiman

Authors

Bergweiler, Walter

Eremenko, A.

Langley, J. K.

Description

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.
17 pages, LaTeX