MMN-1952
Some Marx-Strohhacker type results for a class of multivalent functions
Abstract
In this paper, two Marx-Strohhacker type results are proven for a certain class of analytic and multivalent functions in the open unit disk D. The first result gives the order of multivalent starlikeness for multivalently convex functions of some specified order. The second result provides a lower bound over the unit disk D of Re[f(z)/z^p] for functions f(z) that are multivalently starlike of a given order. Relevant connections of the results presented here with earlier results are also indicated.
Vol. 18 (2017), No. 1, pp. 353-364