Hankel determinant for functions starlike and convex with respect to symmetric points

Aini Janteng, and Suzeini Abdul Halim, and Maslina Darus, (2006) Hankel determinant for functions starlike and convex with respect to symmetric points. Journal of Quality Measurement and Analysis, 2 (1). pp. 37-43. ISSN 1823-5670

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Abstract

Sakaguchi (1959) introduced the class of functions S*s , starlike with respect to symmetric points. In 1977, Das and Singh introduced similar class of functions Cs , convex with respect to symmetric points. Here, upper bound for the functional |a2a4-a23| is attained for functions f(z)=z+ ∑ anzn belonging to S*s and Cs . The result obtained is sharp

Item Type:Article
Keywords:Starlike with respect to symmetric points; convex with respect to symmetric points; Hankel determinant
Journal:Journal of Quality Measurement and Analysis
ID Code:1819
Deposited By:Ms. Nor Ilya Othman
Deposited On:14 Jun 2011 15:11
Last Modified:21 Jun 2011 15:03

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