harmonic functions

In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.

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A certain convolution approach for subclasses of univalent harmonic functions

Journal: Bulletin of the Iranian Mathematical Society 2015

M. K. Aouf, R. M. El-Ashwah,

In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.

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a contribution to approximate analytical evaluation of fourier series via an applied analysis standpoint; an application in turbulence spectrum of eddies

Journal: :international journal of nonlinear analysis and applications 0

john venetis school of applied mathematics and physical sciences ntua, section of mechanics, 5 heroes of polytechnion avenue gr,15773 athens, greece emilios sideridis school of applied mathematics and physical sciences ntua, section of mechanics, 5 heroes of polytechnion avenue gr,15773 athens, greece.

in the present paper, we shall attempt to make a contribution to approximate analytical evaluation of the harmonic decomposition of an arbitrary continuous function. the basic assumption is that the class of functions that we investigate here, except the verification of dirichlet's principles, is concurrently able to be expanded in taylor's representation, over a particular interval o...

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