From the 2 of 16 linked papers with an AI index.
16 papers
Coefficient estimates and Bohr phenomenon for pluriharmonic mappings in the polydisc
Sujoy Majumder, Abhijit Banerjee, Shantanu anja +1
The paper defines a class of normalized pluriharmonic mappings in the polydisc, proves sharp coefficient and growth estimates for them, and determines the associated Bohr radius an…
Coefficient bounds and growth estimates for a class of pluriharmonic mappings in unit polydisk
Sujoy Majumder, Goutam Haldar, Debabrata Pramanik +1
The paper defines a new class of normalized pluriharmonic mappings on the unit polydisk, establishes a correspondence with holomorphic functions, and derives sharp coefficient boun…
Uniqueness of entire functions sharing two values with their partial derivative operators
Sujoy Majumder, Debabrata Pramanik, Shantanu Panja
In this paper, we employ the theory of normal families in several complex variables to obtain some uniqueness theorems for entire functions. These results extend the related works…
Sharp Bohr Radii for Schwarz Functions and Directional derivative Operators in \mathbb{C}^n
Molla Basir Ahamed, Sujoy Majumder, Debabrata Pramanik
This paper is devoted to the investigation of multidimensional analogues of refined Bohr-type inequalities for bounded holomorphic mappings on the unit polydisc $\mathbb{P}Î(0;1_n…
On Stable Univalence and Coefficient Estimates for a Class of Pluriharmonic Mappings in Convex Reinhardt Domains
Molla Basir Ahamed, Sujoy Majumder, Debabrata Pramanik
In this paper, we investigate the geometric properties of complex-valued pluriharmonic mappings defined over convex Reinhardt domains in . We first establish a multid…
Bruck conjecture for solutions of first-order partial differential equations in Cm
Sujoy Majumder, Nabadwip Sarkar, Debabrata Pramanik
In this paper, we study the Brück conjecture \cite{Bruck-1996} by interpreting it through solutions of first-order partial differential equations in several complex variables. Our…