| ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS |
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| 引用本文： | VikramadityaSingh NikolaTuneski. ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS[J]. 数学物理学报(B辑英文版), 2004, 24(4): 597-602 |
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| 作者姓名： | VikramadityaSingh NikolaTuneski |
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| 作者单位： | 3A／95AzadNagar,KanpurUP208002IndiaFacultyofMechanicalEn9ineerin9,KarpogHb.b.,1000Skopje,RepublicofMacedonia |
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| 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-Szegoe functional |α3-μα2^2| is given for a class of analytic functions defined by using this expression.
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| 关 键 词： | 星形 凸 Fekete-Szego 准则 解析函数 几何学 |
ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS |
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| Vikramaditya Singh,Nikola Tuneski. ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS[J]. Acta Mathematica Scientia, 2004, 24(4): 597-602 |
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| Authors: | Vikramaditya Singh Nikola Tuneski |
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| Abstract: | 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 |a2| and of the Fekete-Szego functional |a3-μa2 2| is given for a class of analytic functions defined by using this expression. |
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| Keywords: | Starlike convex criteria Fekete-Szeg(o..) |
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