A unified representation of some starlike and convex harmonic functions with negative coefficients | Zendy

R. M. El-Ashwah | Zendy; M. K. Aouf | Zendy; A. A. M. Hassan | Zendy; A. H. Hassan | Zendy

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A unified representation of some starlike and convex harmonic functions with negative coefficients

Author(s) -

R. M. El-Ashwah,

M. K. Aouf,

A. A. M. Hassan,

A. H. Hassan

Publication year - 2013

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2013.33.2.273

Subject(s) - mathematics , representation (politics) , harmonic , regular polygon , pure mathematics , harmonic function , mathematical analysis , geometry , physics , quantum mechanics , politics , political science , law

In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions. We obtain extreme points, distortion bounds, convolution conditions andconvex combinations for this family

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