Subzar Beig

most citedConvolution of a harmonic mapping with

n

-starlike mappings and its partial sums

1 citations · 1 across the 3 of their papers we have counts for

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math.CV2018

Directional Convexity of Combinations of Harmonic Half-Plane and Strip Mappings

Subzar Beig, V. Ravichandran

For $k = 1, 2$ , let $f_{k} = h_{k} + g_{k}$ be normalized harmonic right half-plane or vertical strip mappings. We consider the convex combination $\hat{f}=ηf_1+(1-η)f_2 =ηh_1+(1-η)h…

math.CV2017

Convexity in one direction of convolutions and linear combination of harmonic functions

Subzar Beig, V. Ravichandran

We show that the convolution of the harmonic function $f = h + g ˉ$ , where $h (z) + e^{- 2 i γ} g (z) = z / (1 - e^{i γ} z)$ having analytic dilatation $e^{i θ} z^{n} (0 \leq θ < 2 π)$ , with t…

math.CV2017★ 1 cited

Convolution of a harmonic mapping with $n$ -starlike mappings and its partial sums

Subzar Beig, V. Ravichandran

We investigate the univalency and the directional convexity of the convolution $ϕ * ~ f = ϕ * h + ϕ * g$ of the harmonic mapping $f = h + g ˉ$ with a mapping $ϕ$ whose convo…

math.CV2017

Directional convexity of harmonic mappings

Subzar Beig, V. Ravichandran

The convolution properties are discussed for the complex-valued harmonic functions in the unit disk $D$ constructed from the harmonic shearing of the analytic function $ϕ(…

Directional Convexity of Combinations of Harmonic Half-Plane and Strip Mappings

Convexity in one direction of convolutions and linear combination of harmonic functions

Convolution of a harmonic mapping with n-starlike mappings and its partial sums

Directional convexity of harmonic mappings

Convolution of a harmonic mapping with $n$ -starlike mappings and its partial sums