12 papers
The Fekete-Szegö problem for starlike mappings of order and quasi-convex mappings of type in the unit balls of complex Banach spaces
Sujoy Majumder, Abhijit Banerjee, Goutam Haldar +1
We establish sharp estimates for the generalized Zalcman functional corresponding to the index for normalized starlike mappings of order and normalized quasi-convex mappi…
Rabin Games Revisited
Antonio Di Stasio, Moshe Y. Vardi
Rabin games have their roots in Michael Rabin's seminal work on automata over infinite trees and form a classical model for infinite-round games with ω-regular winning conditions.…
Coefficient estimates and Hankel determinant for the class of leaf shaped starlike function
Shantanu Panja, Abhijit Banerjee, Sujoy Majumder
In this paper, we study a Ma--Minda type subclass of starlike functions associated with the normalized arcsine function Using the Carathéodory function…
Coefficient Problems for a Ma-Minda Convex Class Associated with the Normalized Arcsine Mapping
Shantanu Panja, Abhijit Banerjee, Jhilik Banerjee +1
Let denote the Ma--Minda subclass of convex functions generated by the normalized arcsine mapping For this family, we develop a…
Multidimensional analogues of the improved Bohr's inequality for shifted polydisks
Sujoy Majumder, Abhijit Banerjee, Jhilik Banerjee +1
In this article, we investigate the Bhor phenomenon for holomorphic functions defined on a general simply connected domain in . We improve the existing results Evdord…
Coefficient bounds and growth estimates for a class of pluriharmonic mappings in unit polydisk
Sujoy Majumder, Goutam Haldar, Debabrata Pramanik +1
In this paper, we first introduce and study the class of normalized pluriharmonic mappings, characterized by a specific bound on the sum of their…
On a class of pluriharmonic mappings in the unit polydisk
Sujoy Majumder, Goutam Haldar, Abhijit Banerjee +1
In this paper, we introduce and study the class of normalized pluriharmonic mappings, characterized by a suitable bound on their second-order par…
Logarithmic coefficients for exponential classes of starlike and convex functions
Shantanu Panja, Sujoy Majumder, Abhijit Banerjee +1
In this paper, we investigate two subclasses of univalent functions associated with the exponential mapping defined via the subordination conditions $\fra…
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…
Rigidity of entire functions sharing a finite set with their partial derivatives in C^n
Sujoy Majumder, Abhijit Banerjee, Shantanu Panja
This paper investigates certain classes of entire functions in C^n that, together with their partial derivatives, share a finite set consisting of three elements. By employing norm…
On the structure and classification of solutions to certain nonlinear differential equations
Abhijit Banerjee, Sujoy Majumder, Shantanu Panja +1
This paper is devoted to the study of meromorphic solutions of nonlinear differential equations, specifically the equation \[ (f^n)^{(k)}(g^n)^{(k)} = α^2, \] where and are…
High-Resolution Capacitance Dilatometry of Microscopically Thin Samples Using a Miniature Dilatometer
R. Küchler, S. Panja, S. Wirth +1
We present a novel application of our high-resolution capacitance dilatometer, specifically engineered for the precise characterization of quantum materials. These materials, which…