SECOND HANKEL DETERMINANT FOR
CERTAIN CLASSES OF ANALYTIC FUNCTIONS
C. Selvaraj1, T.R.K. Kumar2
1Presidency College
Chennai, 600 005, Tamilnadu, INDIA
2R.M.K. Engineering College
R.S.M. Nagar, Kavaraipettai, 601 206, Tamilnadu, INDIA
Abstract. In the present investigation, we introduce some new subclasses of analytic-univalent functions and determine the sharp upper bounds of the second Hankel determinant for the functions belonging to such classes.
AMS Subject classification: 30C45
Keywords and phrases: analytic functions, starlike functions, convex functions, close to convex functions, starlike functions with respect to symmetric points, close-to-convex functions with respect to symmetric points, Hankel determinant


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DOI: 10.12732/ijam.v28i1.4

Volume: 28
Issue: 1
Year: 2015