Distortion Theorems for Circumferentially Mean P -Valent Functions

Research paper by V. N. Dubinin

Indexed on: 07 Jul '16Published on: 07 Jul '16Published in: Journal of Mathematical Sciences


Some distortion theorems for circumferentially mean p-valent functions are proved using the symmetrization method. The cases of functions with a zero of order p at the origin, functions having no zeros, and functions with Montel’s normalization are considered. The equality cases in the estimates obtained are described. Bibliography: 10 titles.