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2015 Classes of Harmonic Functions Defined by Subordination
Jacek Dziok
Abstr. Appl. Anal. 2015: 1-9 (2015). DOI: 10.1155/2015/756928


New classes of univalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic functions. By using extreme points theory we also obtain coefficients estimates, distortion theorems, and integral mean inequalities for these classes of functions. Radii of convexity and starlikeness of the classes are also considered.


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Jacek Dziok. "Classes of Harmonic Functions Defined by Subordination." Abstr. Appl. Anal. 2015 1 - 9, 2015.


Published: 2015
First available in Project Euclid: 11 December 2015

zbMATH: 1345.31001
MathSciNet: MR3431493
Digital Object Identifier: 10.1155/2015/756928

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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