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Coefficient inequality for transforms of parabolic starlike and uniformly convex functions

D. Vamshee Krishna, B. Venkateswarlu, T. RamReddy (2014)

Annales mathématiques Blaise Pascal

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

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