Abstract and Applied Analysis

Classes of Harmonic Functions Defined by Subordination

Jacek Dziok

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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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Abstr. Appl. Anal., Volume 2015 (2015), Article ID 756928, 9 pages.

First available in Project Euclid: 11 December 2015

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Dziok, Jacek. Classes of Harmonic Functions Defined by Subordination. Abstr. Appl. Anal. 2015 (2015), Article ID 756928, 9 pages. doi:10.1155/2015/756928. https://projecteuclid.org/euclid.aaa/1449867425

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