Coefficient inequality for transforms of parabolic starlike and uniformly convex functions

Vamshee Krishna, D. ; Venkateswarlu, B. ; RamReddy, T.

Annales mathématiques Blaise Pascal, Tome 21 (2014), p. 39-56 / Harvested from Numdam

Résumé

The objective of this paper is to obtain sharp upper bound to the second Hankel functional associated with the $k^{th}$ root transform $\left[ f(z ^k ) \right] ^{\frac{1}{k}}$ 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.

Détail

Publié le : 2014-01-01

MR 3322614

DOI : https://doi.org/10.5802/ambp.341
Classification:  30C45,  30C50

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