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In this paper, we will give a starlikeness criterion for locally bi-holomorphic mappings on bounded balanced pseudoconvex domains with C1 plurisubharmonic defining functions in Cn .
In this paper we will give some conditions of spirallikeness for holomorphic mappings defined on bounded balanced pseudoconvex domains in Cn with C1 plurisubharmonic defining functions.
Let k-UCV denote the class of k-uniformly convex functions and let k-ST be related class of k- starlike functions. Also, let f*g denote the Hadamard product (or convolution) of the analytic functions f and g, and V* denote the dual set of the set V. In this paper the classes k-UCV and k-ST in terms of dual sets are descibed. Duality of mentioned classes is also used to obtain other results in the...
Let H = H(U) be the class of all functions which are holomorphic in the unit disc U = {z : \z\ < 1}. Let P(n) denotes the class of all functions p(z) = 1+piz+... is an element H, such thatp(pz) -< (1+zn/(1-zn), where -< denotes subordination. With the class P(n) we connect the subclass S*(n) of starlike functions in the following way. A function f(z) = z + a2z + ... belongs to S* (n) if and...
Several authors (see [1]-[3]) studied (s - 1)-parameters subsemi-groups of the group L1/s i.e. consisting of s-elements sequences with a fixed element being a function of the remaining. In [1] there are considered subsemigroups of the group L1/s of the form [...].
In the paper some harmonic quadrilaterals to the given quadrilaterals are investigated. Every vertex of such harmonic quadrilaterals is the harmonic center of three vertex given quadrilateral.
Authors gives new models of universal Teichmiiller space using so--called sewing theorem and some geometrical constructions connecting Jordan curves with quasiconformal automorphisms of unit circle.
A direct integral equation method for the creeping flow of a viscous incompressible fluid in the presence of a solid particle and a cylindrical interface is developed. The rigid obstacle and the cylindrical interface are immersed in another fluid, which is located in a domain bounded by two rigid walls. The integral formulation uses a combination between single-layer and the double-layer potentials,...
In the previous paper, due to authors, the class of k-uniformly convex functions, (0 < k < oo), has been introduced. Mentioned denoted by kUCV, is a generalization of the class of uniformly convex functions introduced by Goodman, and studied by Ronning, Ma and Minda. This paper is a continuation of investigation of the class k-UCV for that the region of values of 1+ zf'(z)/f'(z), where/ f is...
It is proved that the two-point boundary value problem for a nonlinear differential equation with a nonseparated boundary conditions in an abstract space is uniquely solvable.
In this paper we consider the class of functions with negative coefficients denned by differential integral operators. Among others the necessary and sufficient condition for a function f to be in the studied class is presented.
This article serves a quick review of the theory of homeomorphisms of domains in R , n = 1 and 2, known, for n=2, under the traditional name of quasiconformal mappings.
In this paper we investigate subclasses of starlike functions, where zf'(z)/f(z) is contained in conic domain with vertex at the origin. These classes of functions provide examples of bounded starlike functions.
W pracy tej omawiane są współczesne podejścia do problemu definiowania pojęć matematycznych uwzględniające ostatnie osiągnięcia nauk pedagogiczne - psychologicznych.
In the paper some extremal normalization for the functionals denned on a Teichmiiller space of all quasiconformal automorphisms os the unit disc are investigated.
In the paper some special harmonic reflection with respect to Jordan curve are investigated. This harmonic reflection is defined by applying a concept of a harmonic reflection.
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