Convex family of meromorphically multivalent functions on connected sets
Abstract In this paper, by using a differential operator we have defined a new class of meromorphically multivalent functions. Also two useful subclasses of this class involving fixed points are investigated. Important properties of these classes like convex linear combination, coefficient estimates, convex family etc. are found.
A new subclass of meromorphic p-valent functions
By defining a new linear operator,We get a new subclass of meromorphic p-leaf function,and get two related research conclusions and one corollary from it.
Extreme Points and Minimal Outer Area Problem for Meromorphic Univalent Functions
Abstract For 0  p S p denote the class of functions f ( z ) meromorphic univalent in the unit disk D with the normalization f (0) = 0, f ′(0) = 1, and f ( p ) = ∞. Let S p ( a ) be the subclass of S p with the fixed residue a . In this note we determine the extreme points of the class S p ( a ). As an application, we solve the problem of minimizing the outer area over S p ( a ), which was posed by S. Zemyan ( J. Analyse Math. 39 , 1981, 11–23).