Techniques of the differential subordination for domains bounded by conic sections.
The Alexander transformation of a subclass of spirallike functions of type .
The Carathéodory topology for multiply connected domains I
We consider the convergence of pointed multiply connected domains in the Carathéodory topology. Behaviour in the limit is largely determined by the properties of the simple closed hyperbolic geodesics which separate components of the complement. Of particular importance are those whose hyperbolic length is as short as possible which we call meridians of the domain. We prove continuity results on convergence of such geodesics for sequences of pointed hyperbolic domains which converge in the Carathéodory...
The Carathéodory topology for multiply connected domains II
We continue our exposition concerning the Carathéodory topology for multiply connected domains which we began in [Comerford M., The Carathéodory topology for multiply connected domains I, Cent. Eur. J. Math., 2013, 11(2), 322–340] by introducing the notion of boundedness for a family of pointed domains of the same connectivity. The limit of a convergent sequence of n-connected domains which is bounded in this sense is again n-connected and will satisfy the same bounds. We prove a result which establishes...
The class of functions convex in the negative direction of the imaginary axis of order .
The class of functions spirallike with respect to a boundary point.
The Dziok-Srivastava operator and -uniformly starlike functions.
The extreme points of a class of functions with positive real part.
The Fekete–Szegö problem for a class of analytic functions defined by Carlson–Shaffer operator
In the present investigation we solve Fekete-Szegö problem for the generalized linear differential operator. In particular, our theorems contain corresponding results for various subclasses of strongly starlike and strongly convex functions
The Fekete-Szegő theorem for close-to-convex functions of the class .
The fifth and sixth coefficients of -close-to-convex functions
The integral operator on the class.
The integral operator on the class.
The integral operator on the class.
The Pick version of the Schwarz lemma and comparison of the Poincaré densities.
The projective limit of the spaces
The punishing factors for convex pairs are .
The quasi-Hadamard products of uniformly convex functions defined by Dziok-Srivastava operator
The radius of close-to-convexity of
The radius of conformity of some classes of regular functions