From the 4 of 12 linked papers with an AI index.
12 papers
Bohr type inequalities with one parameter for the class of self analytic maps on unit disc
Goutam Haldar, Rakesh Sarkar, Sujoy Majumder +1
We investigate Bohr-type inequalities for bounded analytic functions, particularly in the presence of a parameter or under convex combination structures. Most of our findings are s…
Coefficient Problems for a Ma-Minda Convex Class Associated with the Normalized Arcsine Mapping
Shantanu Panja, Abhijit Banerjee, Jhilik Banerjee +1
The paper studies coefficient bounds and related functionals for a Ma‑Minda subclass of convex functions defined via the normalized arcsine mapping, using subordination and Carathé…
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…
Multidimensional analogues of the improved Bohr's inequality for shifted polydisks
Sujoy Majumder, Abhijit Banerjee, Jhilik Banerjee +1
The paper extends Bohr-type inequalities to holomorphic and pluriharmonic functions on general simply connected domains and shifted polydisks in several complex variables.
On a class of pluriharmonic mappings in the unit polydisk
Sujoy Majumder, Goutam Haldar, Abhijit Banerjee +1
The paper defines a new class of normalized pluriharmonic mappings in the unit polydisk, relates it to holomorphic functions, and derives sharp coefficient bounds, growth estimates…
Finite Order Transcendental Entire Solutions of Coupled Fermat-Type Difference Equations in Several Complex Variables
Jhilik Banerjee, Abhijit Banerjee
Motivated by recent developments in complex difference equations and Nevanlinna theory in several complex variables, we investigate finite-order transcendental entire solutions of…