Derivatives of entire functions and a question of Pólya
Derivatives of entire functions and a question of Pólya
An old question of P6lya asks whether an entire function f which has, along with each of its derivatives, only real zeros must be of the form f(z) = zme az2+bz+c (1 ezZ where a > 0, b and the zn are real, and In zn2 0, denote by Vp …