Univalent Harmonic Mappings Onto Half Planes

Metin ÖZTÜRK

Article Details

Univalent Harmonic Mappings Onto Half Planes

Authors:

Metin ÖZTÜRK

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 1999 Vol.23 Issue 2, pp.301-313

Document Type:

Article

Publication Date:

1/1999

Document Language:

Turkish

Document ID (Org No.):

2000749310

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Keywords:

Abstract:

 

We consider the class SH(D,W ) of complex functions f  which are univalent, harmonic, sense preserving on a simple connected  domain D\neq {\Bbb C} \ containing the origin, satisfy f(0)=a0,  f\bar z(0)=0a,\ a\in {\Bbb R}\}.  In particularly, we describe  the closure \overline{SH(D,W )} of SH(D,W ) and  characterize its extreme points, as well as sharp estimates for  coefficients and distortion theorems.

 

We consider the class SH(D,W ) of complex functions f  which are univalent, harmonic, sense preserving on a simple connected  domain D\neq {\Bbb C} \ containing the origin, satisfy f(0)=a0,  f\bar z(0)=0a,\ a\in {\Bbb R}\}.  In particularly, we describe  the closure \overline{SH(D,W )} of SH(D,W ) and  characterize its extreme points, as well as sharp estimates for  coefficients and distortion theorems.

Article Details

Univalent Harmonic Mappings Onto Half Planes

Authors:

Metin ÖZTÜRK

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 1999 Vol.23 Issue 2, pp.301-313

Document Type:

Article

Publication Date:

1/1999

Document Language:

Turkish

Document ID (Org No.):

2000749310

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Harmonic mappings

Extremal problems.

Issues

Article Details

Univalent Harmonic Mappings Onto Half Planes

Authors: Metin ÖZTÜRK

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 1999 Vol.23 Issue 2, pp.301-313

Document Type: Article

Publication Date: 1/1999

Document Language: Turkish

Document ID (Org No.): 2000749310

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Harmonic mappings

Extremal problems.

Issues

Authors:

Metin ÖZTÜRK

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 1999 Vol.23 Issue 2, pp.301-313

Document Type:

Article

Publication Date:

1/1999

Document Language:

Turkish

Document ID (Org No.):

2000749310

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098