18 papers
Landau-type theorems for -quasiregular harmonic mappings
Vasudevarao Allu, Raju Biswas
In this paper, our aim is to establish several sharp and improved Landau-type theorems for -quasiregular harmonic mappings in the unit disk $\Bbb{D} = \{z\in\…
Geometric analysis of a class of harmonic mappings defined by a differential inequality
Vasudevarao Allu, Raju Biswas, Rajib Mandal
In this paper, we introduces and undertake as a systematical investigation of the class of normalized harmonic mappings …
Bohr phenomenon for analytic and harmonic mappings on shifted disks
Vasudevarao Allu, Raju Biswas, Rajib Mandal
The primary objective of this paper is to establish several sharp results concerning the Bohr inequality, the refined Bohr inequality, and the improved Bohr inequality for the clas…
Pre-Schwarzian and Schwarzian norm estimates for certain classes of analytic and harmonic mappings
Vasudevarao Allu, Raju Biswas, Rajib Mandal
Let denote the class of all analytic functions in the unit disk such that . In this paper, we introduce a…
Bohr phenomenon for certain integral operators and transforms in complex Banach spaces
Vasudevarao Allu, Raju Biswas, Rajib Mandal +1
In this paper, we investigate several Bohr radii associated with the Cesáro operator, Bernardi integral operator, -Cesáro operator, and discrete Fourier transform, all define…
Bohr inequalities for holomorphic mappings in higher-dimensional complex Banach spaces
Vasudevarao Allu, Raju Biswas, Rajib Mandal
In this paper, we investigates the Bohr phenomenon for holomorphic mappings from the unit ball of a complex Banach space into the closure of the unit polydis…