Download Abstract Book - the ICAAM 2012 Conference in Gumushane
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On A SUBCLASS OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS<br />
ABDUL RAHMAN S. JUMA 1 and HAZHA ZIRAR 2<br />
1 Department of Ma<strong>the</strong>matics, Alanbar University, Ramadi, Iraq 2 Department of Ma<strong>the</strong>matics ,<br />
<strong>Abstract</strong><br />
University of Salahadd<strong>in</strong>, Erbil, Kurdistan, Iraq.<br />
In this paper, we have <strong>in</strong>troduced <strong>the</strong> subclass of univalent functions def<strong>in</strong>ed <strong>in</strong> <strong>the</strong> open unit disc<br />
and derived some <strong>in</strong>terest<strong>in</strong>g properties like coefficient estimates, distortion <strong>the</strong>orem, extreme po<strong>in</strong>ts and<br />
radii of close- to- convexity , starlikness and convexity.<br />
References<br />
[1] Aouf, M. K. and Salagean ,G. S. , Generalization of certa<strong>in</strong> subclass of convex functions and<br />
correspond<strong>in</strong>g subclass of starlike functions with negative coeffictients, Ma<strong>the</strong>matica, 50(73), (2008),<br />
119-138.<br />
[2] Flett,T. M. , The dual of an <strong>in</strong>equalities of Hardy and Littlewood and some related <strong>in</strong>equalities,<br />
S. Math. Anal. Appl. 38(1972), 746- 765.<br />
[3] Kanas,S. and Wis<strong>in</strong>iowska,A., Conic regions and stanlike functions, Rev. Roum. Math. Pures<br />
Appl. Math. Soc. 45(2000), 647- 657.<br />
[4] Ronn<strong>in</strong>g,F. , On starlike functions associated with parabolic region, Ann. Univ Mariae Curie<br />
Sklodowska Sect. Aus (1991), 117- 122.<br />
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