Results 11 to 20 of about 201 (176)
On Certain Bounds of Harmonic Univalent Functions
AxiomsHarmonic functions are renowned for their application in the analysis of minimal surfaces. These functions are also very important in applied mathematics.
Fethiye Müge Sakar +3 more
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A New Subclass of Salagean-Type Harmonic Univalent Functions [PDF]
Abstract and Applied Analysis, 2010 We define and investigate a new subclass of Salagean-type harmonic univalent functions. We obtain coefficient conditions, extreme points, distortion bounds, convolution, and convex combination for the above subclass of harmonic functions.
Khalifa Al-Shaqsi +2 more
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Analytic and Harmonic Univalent Functions [PDF]
Abstract and Applied Analysis, 2014 From the text: This special issue aims to disseminate recent advances in the studies of complex function theory, harmonic univalent functions, and their connections to produce deeper insights and better understanding. These are crystallized in the form of original research articles or expository survey papers.
V. Ravichandran +2 more
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Проблемы анализа, 2014 The criteria of the univalence of a harmonic mapping is obtained in this paper. Particularly, it permits to formulate the hypothesis of the harmonic function classes equality S 0 H = S 0 H(S) (hypothesis of Ponnusamy and Sairam), in analytic form.
Starkov
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Univalent harmonic functions [PDF]
Transactions of the American Mathematical Society, 1987 Several families of complex-valued, univalent, harmonic functions are studied from the point of view of geometric function theory. One class consists of mappings of a simply-connected domain onto an infinite horizontal strip with a normalization at the origin.
Hengartner, W., Schober, G.
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On Harmonic Univalent Functions Defined by Dziok-Srivastava Operator
Tikrit Journal of Pure Science, 2022 The purpose of this work is to present a class of harmonic univalent functions defined by the Dziok-Srivastava operator. Some geometric properties like coefficients conditions, distortion theorem, convolution (Hadamard product), convex combination and ...
Mays S. Abdul Ameer +2 more
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Certain multipliers of univalent harmonic functions
Applied Mathematics Letters, 2005 Let \(\overline H\) denote the class of complex-valued harmonic functions which are univalent, orientation preserving, and written in the form \(f=h+\overline g\) where \[ h(z)=z-\sum_{n=2}^{\infty}| a_n| z^n,\;\;\;g(z)=\sum_{n=1}^{\infty}| b_n| z^n,\;\;\;| b_1|
Om P. Ahuja, Jay M. Jahangiri
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Harmonic functions with varying coefficients
Journal of Inequalities and Applications, 2016 Complex-valued harmonic functions that are univalent and sense preserving in the open unit disk can be written in the form f = h + g ‾ $f=h+\overline{g}$ , where h and g are analytic.
Jacek Dziok +2 more
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Construction of Planar Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2007 Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f=h+g¯, where h and g are analytic in the open unit disk.
Jay M. Jahangiri +2 more
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The Properties of a New Subclass of Harmonic Univalent Mappings
Abstract and Applied Analysis, 2013 We introduced a new subclass of univalent harmonic functions defined by the shear construction in the present paper. First, we showed that the convolutions of two special subclass harmonic mappings are convex in the horizontal direction.
Zhi-Hong Liu, Ying-Chun Li
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