Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (4): 597-602.

• Articles • Previous Articles     Next Articles

ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS 1

Vikramaditya Singh and Nikola Tuneski   

  1. 3A/95 Azad Nagar, Kanpur UP 208 002 India
    Faculty of Mechanical Engineering, Karpoˇs II b.b., 1000 Skopje, Republic of Macedonia
  • Online:2004-10-20 Published:2004-10-20

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Abstract:

In this paper the authors study (1 −
 + zf′′(z)/f′(z))/(zf′(z)/f(z)) as a
criteria for starlikeness and convexity. Sharp upper bound of |a2| and of the Fekete-Szeg¨o
functional |a3−μa2
2| is given for a class of analytic functions defined by using this expression.

Key words: Starlike convex;criteria;Fekete-Szego

CLC Number: 

  • 30C45
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