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Classes of meromorphic multivalent functions with Montel’s normalization

Jacek Dziok (2012)

Annales UMCS, Mathematica

In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.

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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