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Classes of Harmonic Functions Defined by Subordination

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  • Jacek Dziok

Abstract

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.

Suggested Citation

  • Jacek Dziok, 2015. "Classes of Harmonic Functions Defined by Subordination," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-9, November.
    • Handle: RePEc:hin:jnlaaa:756928
    DOI: 10.1155/2015/756928
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