Ahlfors-Weill extensions of conformal mappings and critical points of the Poincaré metric.
Algoritmy na výpočet kořenů polynomu
Almost Locally Univalent Functions.
Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions
In this paper an alternative characterization of the class of functions called k -uniformly convex is found. Various relations concerning connections with other classes of univalent functions are given. Moreover a new class of univalent functions, analogous to the ’Mocanu class’ of functions, is introduced. Some results concerning this class are derived.
Amenability, Poincaré series and quasiconformal maps.
An Algorithm for the Zeros of Transcendental Functions.
An alternate proof of Hall's theorem on a conformal mapping inequality.
An application of a subordination chain.
An Application of Convolution Integral
MSC 2010: 30C45Applying the Bernardi integral operator, an interesting convolution integral is introduced. The object of the present paper is to derive some convolution integral properties of functions f(z) to be in the subclasses of the classes S*(α) and Κ(α) by making use of their coefficient inequalities.
An application of differential subordination.
An application of differential subordinations, II
An application of fine potential theory to prove a Phragmen Lindelöf theorem
We give a new proof of a Phragmén Lindelöf theorem due to W.H.J. Fuchs and valid for an arbitrary open subset of the complex plane: if is analytic on , bounded near the boundary of , and the growth of is at most polynomial then either is bounded or for some positive and has a simple pole.
An application of Hölder's inequality for convolutions.
An application of hypergeometric functions to a problem in function theory.
An application of Miller and Mocanu's result.
An application of subordination on harmonic function.
An application of the generalized Bessel function
We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
An application of the Ruscheweyh derivatives.
An application of the Ruscheweyh derivatives. II.
An Application of the Subordination Chains
MSC 2010: 30C45, 30A20, 34A30The notion of differential superordination was introduced in [4] by S.S. Miller and P.T. Mocanu as a dual concept of differential subordination [3] and was developed in [5]. The notion of strong differential subordination was introduced by J.A. Antonino and S. Romaguera in [1]. In [6] the author introduced the dual concept of strong differential superordination. In this paper we study strong differential superordination using the subordination chains.