Schlichte Linearkombinationen holomorpher Funktionen aus H (D).
Schroeder's functions
Second Hankel determinant for a class of analytic functions defined by fractional derivative.
Second order differential subordinations of holomorphic mappings on bounded convex balanced domains in .
Sharp bounds of the third Hankel determinant for classes of univalent functions with bounded turning
We improve the bounds of the third order Hankel determinant for two classes of univalent functions with bounded turning.
Sharp Estimates For Some Integral Operators Of Convex Functions Of Order Alpha
Sharp estimation of even coefficients of bounded symmetric univalent functions
Sharp estimation of the coefficients of bounded univalent functions close to identity [Book]
Sharp norm estimate of Schwarzian derivative for a class of convex functions
We establish a sharp norm estimate of the Schwarzian derivative for a function in the classes of convex functions introduced by Ma and Minda [Proceedings of the Conference on Complex Analysis, Int. Press, 1992, 157-169]. As applications, we give sharp norm estimates for strongly convex functions of order α, 0 < α < 1, and for uniformly convex functions.
Short separating geodesics for multiply connected domains
We consider the following questions: given a hyperbolic plane domain and a separation of its complement into two disjoint closed sets each of which contains at least two points, what is the shortest closed hyperbolic geodesic which separates these sets and is it a simple closed curve? We show that a shortest geodesic always exists although in general it may not be simple. However, one can also always find a shortest simple curve and we call such a geodesic a meridian of the domain. We prove that,...
Simple sufficient conditions for starlikeness and convexity for meromorphic functions
In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α. Our results unify and extend some starlikeness and convexity conditions for meromorphic multivalent functions obtained by Xu et al. [2], and some interesting special cases are given.
Some applications of a differential subordination.
Some applications of a first order differential subordination.
Some applications of differential subordination to a general class of multivalently analytic functions involving a convolution structure.
Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients. I.
Some applications of Srivastava-Attiya operator to -valent starlike functions.
Some applications of subordination theorems associated with fractional -calculus operator
Using the operator , we introduce the subclasses and of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.
Some applications of the Briot-Bouquet differential subordination.
Some applications of the generalized Bernardi-Libera-Livingston integral operator on univalent functions.
Some Bazilevič functions of order beta.