3 citations · 9 across the 24 of their papers we have counts for
24 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\…
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 defined o…
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…
On the pre-Schwarzian and Schwarzian derivatives of log-harmonic mappings
Raju Biswas, Rajib Mandal
In this paper, we introduce definitions of the pre-Schwarzian and the Schwarzian derivatives for any locally univalent log-harmonic mappings defined in the unit disk $\mathbb{D}=\{…
A unified framework for Bohr-type inequalities using multiple Schwarz functions
Raju Biswas, Rajib Mandal
This paper introduces a unified framework for Bohr-type inequalities by incorporating multiple Schwarz functions into the majorant series for -quasiconformal harmonic mappings i…
Landau-type theorems for certain bounded poly-analytic and reduced poly-analytic functions
Vasudevarao Allu, Raju Biswas, Rajib Mandal +1
The main aim of this paper is to establish several Landau-type theorems for certain bounded poly-analytic functions and reduced poly-analytic functions that generalize some previou…
On certain subclasses of analytic and harmonic mappings
Raju Biswas
Let be the class of harmonic functions in the unit disk , where and are analytic in with…
Pre-Schwarzian norm estimation for functions in the Ma-Minda-type starlike and convex classes
Raju Biswas
In this paper, we establish the sharp estimates of the pre-Schwarzian norm of functions in the Ma-Minda type starlike and convex classes and …
The Bohr's Phenomenon involving multiple Schwarz functions
Vasudevarao Allu, Raju Biswas, Rajib Mandal
The primary objective of this paper is to establish several sharp versions of Bohr inequalities for bounded analytic functions in the unit disk $\mathbb{D} := \{z\in\mathbb{C} : |z…
An estimation of the pre-Schwarzian norm for certain classes of analytic functions
Vasudevarao Allu, Raju Biswas, Rajib Mandal
The primary objective of this paper is to establish the sharp estimates of the pre-Schwarzian norm for functions in the class and when $φ(z)…
On meromorphic solutions of certain Fermat-type difference and analogues equations concerning open problems
Rajib Mandal, Raju Biswas, Sudip Kumar Guin
In this paper, we have found that some certain Fermat-type shift and difference equations have the meromorphic solutions generated by Riccati type functions. Also we have solved th…
Solutions of systems of certain Fermat-type PDDEs
Raju Biswas, Rajib Mandal
The objective of this paper is to investigate the existence and the forms of the pair of finite order entire and meromorphic solutions of some certain systems of Fermat-type partia…
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 …
Entire functions of several complex variables satisfying certain Fermat-type PDDEs
Hong Yan Xu, Rajib Mandal, Raju Biswas
In this paper, we solve certain Fermat-type partial differential-difference equations for finite order entire functions of several complex variables. These results are significant…
Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang
Hong Yan Xu, Rajib Mandal, Raju Biswas
The objective of this study is to ascertain the existence and forms of the finite order meromorphic and entire functions of several complex variables satisfying some certain Fermat…
A geometric investigation of a certain subclass of univalent functions
Raju Biswas, Rajib Mandal
Let be the space of all functions that are analytic in . Let denote the family of all functions and normalized by the cond…
The Bohr's phenomenon for certain K-quasiconformal harmonic mappings
Vasudevarao Allu, Raju Biswas, Rajib Mandal
The primary objective of this paper is to establish several sharp versions of improved Bohr inequalities, refined Bohr inequalities, and Bohr-Rogosinski inequalities for the class…
The Bohr's Phenomenon for the class of K-quasiconformal harmonic mappings
Raju Biswas, Rajib Mandal
The primary objective of this paper is to establish several sharp versions of improved Bohr inequality, refined Bohr-type inequality, and refined Bohr-Rogosinski inequality for the…
Generalized Bohr inequalities for K-quasiconformal harmonic mappings and their applications
Raju Biswas, Rajib Mandal
The classical Bohr theorem and its subsequent generalizations have become active areas of research, with investigations conducted in numerous function spaces. Let $\{ψ_n(r)\}_{n=0}…
Operator valued analogues of multidimensional refined Bohr's inequalities
Vasudevarao Allu, Raju Biswas, Rajib Mandal
Let denote the Banach algebra of all bounded linear operators acting on complex Hilbert spaces . In this paper, we first establish several s…
Bohr type inequality for certain integral operators and Fourier transform on shifted disks
Vasudevarao Allu, Raju Biswas, Rajib Mandal
In this paper, we derive the sharp Bohr type inequality for the Cesáro operator, Bernardi integral operator, and discrete Fourier transform acting on the class of bounded analytic…
Improved Bohr-type Inequalities for the Cesaro Operator
Vasudevarao Allu, Raju Biswas, Rajib Mandal
In this paper, we derive the sharp improved versions of Bohr-type inequalities for the Cesáro operator acting on the class of bounded analytic functions defined on the unit disk $\…