• CERTAIN SUBCLASS OF MULTIVALENT α - SPIRALLIKE FUNCTIONS

O. KARTHIYAYINI1, V. SIVASANKARI*

Abstract


The aim of this paper is to study certain subclasses of multivalent α- spiral starlike functions and α- spiral convex functions defined by subordination. We obtain an upper bound estimate for the second Hankel determinant of functions belonging to these classes using Toeplitz determinants. Also, the bounds rendered in this paper generalize some previous results.

Keywords


Analytic function, convex α- spiral function, multivalent function,α- spiral starlike function, Hankel determinant, Toeplitz determinants.

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