ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS  

ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS

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作  者:Vikramaditya Singh Nikola Tuneski 

机构地区:[1]Faculty of Mechanical Engineering, Karpos Ⅱ b.b., 1000 Skopje, Republic of Macedonia,Faculty of Mechanical Engineering, Karpos Ⅱ b.b., 1000 Skopje, Republic of Macedonia

出  处:《Acta Mathematica Scientia》2004年第4期597-602,共6页数学物理学报(B辑英文版)

摘  要:In this paper the authors study (1-γ+zf(?)(z)/f'(z))/(zf'(z)/f(z)) as a criteria for starlikeness and convexity. Sharp upper bound of |α2| and of the Fekete-Szego functional |α3-μα22| is given for a class of analytic functions defined by using this expression.In this paper the authors study (1-γ+zf(?)(z)/f'(z))/(zf'(z)/f(z)) as a criteria for starlikeness and convexity. Sharp upper bound of |α2| and of the Fekete-Szego functional |α3-μα22| is given for a class of analytic functions defined by using this expression.

关 键 词:STARLIKE convex CRITERIA FEKETE-SZEGO 

分 类 号:O174[理学—数学]

 

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