32 papers
Directional Coefficient Inequalities for Strongly Starlike Mappings in Complex Banach Spaces
Pradip Das, Nabadwip Sarkar
We study a class of strongly starlike mappings of order on the open unit ball of a complex Banach space under a scalar-profile condition. Using a slice reduction along one-dime…
Refined Bohr Inequalities and Bohr Radii Involving Schwarz Mappings for Holomorphic Functions in Banach Spaces and JB*-Triples
Nabadwip Sarkar, Pradip Das
In this paper, we investigate refined Bohr-type inequalities involving Schwarz mappings for holomorphic mappings defined on the unit ball \( B_X \) of a complex Banach space. We fi…
Radii of Concavity for Subclasses of Univalent Functions Associated with the Exponential Mapping
Pradip Das, Nabadwip Sarkar
We determine the radii of concavity for the classes and of univalent functions associated with the exponential mapping . Under the geometric…
Coefficient Problems and Sharp Determinant Estimates for the Class
Pradip Das, Nabadwip Sarkar
We study coefficient problems for the class of normalized analytic functions in the unit disk satisfying the subordination condition \[ f'(z) \prec e^z(1+\sin…
Sharp Hankel and Hermitian--Toeplitz Determinants Involving Logarithmic and Inverse Logarithmic Coefficients for the class \(\mathcal{S}_{car}^*\)
Nabadwip Sarkar, Pradip Das
This paper focuses on coefficient problems for the class of starlike functions related to a cardioid region. We derive sharp bounds for the Hankel determinants of logarithmic coeff…
Second Hankel Determinant for -Spirallike Convex Mappings in Complex Banach Spaces
Molla Basir Ahamed, Nabadwip Sarkar, Pradip Das
We establish the bound for the second-order Hankel determinant associated with the class of normalized -spirallike…
Bohr-type inequalities with Fréchet derivative and Area terms in Complex Banach spaces
Nabadwip Sarkar, Pradip Das
We establish new Bohr-type inequalities for holomorphic mappings from the unit ball of a complex Banach space into the closed unit disk. Using Fréchet derivatives, Schwarz mappings…
Higher-Order Schippers-Schwarzian Derivatives for Non-Circular Starlike Functions
Pradip Das, Paweł Zaprawa, Nabadwip Sarkar
We find sharp upper bounds for the initial higher-order Schippers-Schwarzian derivatives and for several subclasses of univalent and starlike functions in t…
Sharp Estimates for Hankel, Fekete-Szegö and Zalcman Functionals for in Complex Banach Spaces
Nabadwip Sarkar, Pradip Das
Inspired by the sharp coefficient estimates established by Cho \emph{et al.}\cite{CKKLS2018} for starlike functions of order in the unit disk, we investigate the corresponding…
On Hankel Determinants of -Spirallike Mappings in Complex Banach Spaces
Nabadwip Sarkar, Pradip Das
This paper is devoted to the study of the second Hankel determinant for normalized -spirallike mappings on the unit ball of a complex Banach space. Using the relationship betwee…
Improved Bohr inequalities involving Fréchet derivatives associated with Holomorphic mappings in Banach spaces
Nabadwip Sarkar, Pradip Das
Motivated by recent advances in derivative Bohr inequalities and their refinements, we investigate the Bohr phenomenon for holomorphic mappings in complex Banach spaces associated…
Hankel, Toeplitz, Hermitian--Toeplitz Determinants and the Zalcman Functional for a Class of Biholomorphic Mappings on Complex Banach Spaces
Nabadwip Sarkar, Pradip Das
In this paper, we investigate the second Hankel determinant, Toeplitz determinants, Hermitian--Toeplitz determinants and the generalized Zalcman functional for a class of normalize…
Sharp coefficient Estimates for the class
Pradip Das, Nabadwip Sarkar
We investigate several classic coefficient problems for the Ma--Minda starlike subclass defined by the apple-like subordination function $ψ_{\mathc…
Inverse Logarithmic Coefficients and Associated Sharp Estimates for the Apple-Like Convex Subclass
Pradip Das, Nabadwip Sarkar
This paper addresses coefficient problems for the apple-like convex subclass , defined by the subordination relation $1+zf''(z)/f'(z) \prec e^z\sqrt{1+z…
Sharp Coefficient Estimates for the Exponential Starlike class
Pradip Das, Nabadwip Sarkar
Let denote the class of normalized analytic functions in the unit disk satisfying \[ \frac{zf'(z)}{f(z)} \prec e^{αz},\qquad 0<α\le 1. \] We obtain sh…
Inverse Logarithmic Coefficients, Differences, Hankel Determinant, and Fekete--Szegö Functionals for the Class
Pradip Das, Nabadwip Sarkar
In this paper, we investigate the inverse logarithmic coefficients associated with the class of analytic and univalent functions satisfying the subordination condit…
Sharp Bohr-Rogosinski radii for Schwarz functions and Euler operators in C^n
Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar
This paper is devoted to the investigation of multidimensional analogues of refined Bohr-type inequalities for bounded holomorphic mappings on the unit polydisc . We…
Multidimensional analogues of the refined Bohr type inequalities
Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar
The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk .We also prove two…
Meromorphic solutions of a certain type of nonlinear differential equation
Sujoy majumder, Nabadwip Sarkar, Debabrata pramanik
Our paper focuses on investigating the existence and possible forms of solutions to the nonlinear differential equation \beas f^m+\big(Rf^{(k)}\big)^n=Qe^α,\eeas where where , $…
Multidimensional analogues of the improved Bohr's inequality
Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar +1
The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk . We also pro…
On the two conjectures
Nabadwip Sarkar, Debabrata Pramanik, Lata Mahato
In this paper, we investigate the uniqueness problem of entire functions that share an entire function with their higher-order difference operators. We obtain two results that conf…
Differential Operators, Multiple Schwarz Functions, and the Bohr Radius of Stable Harmonic Maps
Sujoy Majumder, Nabadwip Sarkar, Molla Basir Ahamed
In this paper, we study the Bohr phenomenon for differential operators and of stable harmonic mappings involving multiple Schwarz functions in , us…
The Yang-Hua theorems in several complex variables
Abhijit Banerjee, Sujoy Majumder, Debabrata Pramanik +1
In this paper, we investigate meromorphic solutions in of the nonlinear differential equation \[\displaystyle f^n\partial_u(f)g^n\partial_u(g)=1,\] where $\partial_u…
Entire solution of a partial differential equation
Junfeng Xu, Nabadwip Sarkar, Sujoy Majumder
In this paper, using Nevanlinna's value distribution theory of meromorphic functions in several complex variables, we study for the existence of entire solutions in $\mathbb{C}…