Non-real zeros of linear differential polynomials in real meromorphic functions

It is shown that if $f$ or $1/f$ is a real entire function of infinite order of growth, with only real zeros, then $f''+\omega f$ has infinitely many non-real zeros for any $\omega > 0$.Comment: updated 27/09/1

Real entire functions with real zeros and a conjecture of Wiman

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.Comment: 17 pages, LaTe

Baker domains for Newton's method

We show that there exists an entire function without finite asymptotic values for which the associated Newton function tends to infinity in some invariant domain. The question whether such a function exists had been raised by Douady.Comment: 8 page