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W3138007756 abstract "For $alpha > -1$ and $beta >0, $ let $mathcal{B}_{mathcal{H}}^0(alpha, beta)$ denote the class of sense preserving harmonic mappings $f=h+overline{g}$ in the open unit disk $mathbb{D}$ satisfying $|zh''(z)+alpha(h'(z)-1)|leq beta-|zg''(z)+alpha g'(z)|.$ First, we establish that each function belonging to this class is close-to-convex in the open unit disk if $beta in (0, 1+alpha]$. Next, we obtain coefficient bounds, growth estimates and convolution properties. We end the paper with applications and will construct harmonic univalent polynomials belonging to this class." @default.
W3138007756 created "2021-03-29" @default.
W3138007756 creator A5067859757 @default.
W3138007756 creator A5069821003 @default.
W3138007756 date "2020-01-01" @default.
W3138007756 modified "2023-10-15" @default.
W3138007756 title "On a subclass of close-to-convex harmonic mappings" @default.
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W3138007756 doi "https://doi.org/10.7153/jca-2020-17-02" @default.
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