Generalized k–uniformly convex harmonic functions with negative coefficients

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Published: Jun 30, 2017
DOI: https://doi.org/10.5556/j.tkjm.48.2017.2326
Keywords:
Harmonic functions k–uniformly convex extreme points distortion bounds

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Shuhai Li
Huo Tang
Lina Ma
Ao En
Chifeng University

Abstract

In the present paper, we introduce some generalized $k$-uniformly convex harmonic functions with negative coefficients. Sufficient coefficient conditions, distortion bounds, extreme points, Hadamard product and partial sum for functions of these classes are obtained.

Article Details

How to Cite
Li, S., Tang, H., Ma, L., & En, A. (2017). Generalized k–uniformly convex harmonic functions with negative coefficients. Tamkang Journal of Mathematics, 48(2), 185–202. https://doi.org/10.5556/j.tkjm.48.2017.2326
Issue
Vol. 48 No. 2 (2017)
Section
Papers
Author Biographies

Shuhai Li

Professor, School of Mathematics and Statistics, Chifeng University, InnerMongolia 024000, P. R. China.

Huo Tang

Professor, School of Mathematics and Statistics, Chifeng University, InnerMongolia 024000, P. R. China.

Lina Ma

Professor, School of Mathematics and Statistics, Chifeng University, InnerMongolia 024000, P. R. China.

Ao En, Chifeng University

School of Mathematics and Statistics, professor

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