On the existence of real entire functions with a prescribed ordered set of stationary values
It is established that to each ordered set of real stationary values there is a unique corresponding real entire function \(f\) taking on the stationary values a given order and with given multiplicities along the real axis. Besides the elements of the given set are the roots of the derivative \(f'\) and the latter belongs to the Polya-Laguerre class. The explicit formula for \(f'\) is also given.
scientific article; zbMATH DE number 540078