Coefficient Estimates and Bloch’s Constant in Some Classes of Harmonic Mappings

Coefficient inequality for perturbed harmonic mappings

SOME HARMONIC n - SLIT MAPPINGS

The class SH consists of univalent, harmonic, and sense-preserving functions f in the unit disk, , such that f = h+g where h(z) = z+ P 1 2 akz , g(z) = P 1 1 bkz . S H will denote the subclass with b1 = 0. We present a collection of n-slit mappings (n 2) and prove that the 2-slit mappings are in SH while for n 3 the mappings are in S H . Finally we show that these mappings establish the sharpne...

Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain

The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequen...

the translators agency and ideological manipulation in translation: the case of political texts in translation classes in iran

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Coefficient Estimates for Certain Classes of Bi-Univalent Functions

In this paper we introduce some new subclasses of the class σ of bi-univalent functions and obtain bounds for the initial coefficients of the Taylor series expansion of functions from the considered classes.