Analytic functions with univalent derivatives and entire functions of exponential type
Analytic functions with univalent derivatives and entire functions of exponential type
Functions/, analytic and univalent in the unit disc, and such that all successive derivatives ƒ (k) are univalent in this disc, are necessarily transcendental entire functions of exponential type.These functions, and functions ƒ having an infinite number of derivatives ƒ(»*) univalent in the unit disc, are discussed.Entire functions of bounded …