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On Janowski harmonic functions
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Jacek Dziok
Published/Copyright:
November 4, 2015
Abstract
In this paper we define classes of harmonic functions related to the Janowski functions and we give some necessary and sufficient conditions for these classes. Some topological properties and extreme points of the classes are also considered. By using extreme points theory we obtain coefficients estimates, distortion theorems, integral mean inequalities for the classes of functions.
Funding source: by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge, University of Rzeszów
The author would like to thank the referees for valuable suggestions and comments.
Received: 2015-5-12
Revised: 2015-9-1
Accepted: 2015-9-23
Published Online: 2015-11-4
Published in Print: 2015-12-1
© 2015 by De Gruyter
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- Frontmatter
- Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
- Global existence and stability results for partial fractional random differential equations
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- On Janowski harmonic functions
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Keywords for this article
Harmonic functions;
Janowski functions;
starlike functions;
extreme points;
subordination
Articles in the same Issue
- Frontmatter
- Approximation of common fixed points of left Bregman strongly nonexpansive mappings and solutions of equilibrium problems
- Global existence and stability results for partial fractional random differential equations
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- On Janowski harmonic functions
- Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients
- Averaging of a nonlinear bipolar model with phase transition and oscillating external forces
- Evolution and monotonicity of the first eigenvalue of p-Laplacian under the Ricci-harmonic flow
