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On Brennan's conjecture for a special class of functions} assuming that the Taylor coefficients of the function log(zf′(z)/f(z)) at zero are nonnegative. We also

On Landau’s Type Estimates for Coefficients of Univalent Functions of coefficients for functions with restrictions on the pre-Schwarzian derivative. We obtain an estimate, which

Lower estimate for the integral means spectrum for p = -1In this paper we show that there exists a function f bounded and univalent in the unit disk

Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel–Schwarz integral of closed and univalent mappings.

Some questions on the univalence of functions of the class ΣIn this paper we give an example of two convex functions in | ζ| > 1 whose arithmetic mean

Two sufficient conditions for the univalence of analytic functions functions in the region |ζ|>-1 and in the disk |ζ|<-1. We examine the question of univalent variation

INTEGRAL MEANS OF HARMONIC MAPPINGSIn this talk, we are interested to explore more on locally univalent harmonic functions

The law of the iterated logarithm for locally univalent functions of the integral means of the derivative of an analytic function. Also, we establish that this constant is equal

Analytic functions with polar and logarithmic singularities and locally convex boundary values at the infinity and generalize univalent convex functions defined in the exterior of the unit disc. We prove sharp

Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel–Schwarz integral of closed and univalent mappings.

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