On Marx-Strohacker type results for multivalent functions and their nth root

Abstract

Two Marx-Strohhacker type results for multivalent functions and their nth root are given. Both results provide a lower bound over the unit disk of ℜ ⁿ√f(z)/z^p for functions that are p-valent starlike of a given order and uniformly p-valent starlike of a given order, respectively. Connections with previous results are indicated.