Author

V. Allu

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Preprint Aug 2026

Bloch and Landau Type Theorems for Harmonic Mappings with Inhomogeneous Analytic Dilatation

We study Bloch and Landau type theorems for a class of sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\mathbb{D}$ satisfying the inhomogeneous analytic dilatation equation $$ g'(z)=\omega(z)h'(z)+\psi(z),$$ where $\omega$ and $\psi$ are analytic functions in $\mathbb{D}$ with $\|\omega\|_{\inft...

V. Allu, Rohit Kumar · 0 citations

Preprint Jul 2026

Landau-type theorems for $K$-quasiregular harmonic mappings

In this paper, our aim is to establish several sharp and improved Landau-type theorems for $K$-quasiregular harmonic mappings $f=h+\overline{g}$ in the unit disk $\Bbb{D} = \{z\in\Bbb{C}: |z|<1\}$. Under various boundedness assumptions on the analytic part $h$ or its derivative, we obtain explicit univalence radii and...

V. Allu, R. Biswas · 0 citations