creative_2015_24_1_069_075_001

Coefficient inequality for transforms of starlike and convex functions


D. Vamshee KrishnaB. VenkateswarluT. RamReddy


Abstract

creative_2015_24_1_069_075_abstract

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creative_2015_24_1_069_075

The objective of this paper is to obtain an upper bound for the second Hankel functional associated with the kthkth root transform [f(zk)]1k[f(zk)]1k of normalized analytic function f(z)f(z) belonging to starlike and convex functions, defined on the open unit disc in the complex plane, using Toeplitz determinants.

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