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math.CV2025
On the characterization of uniqueness polynomials: both complex and p-adic versions
Pratap Basak, Sanjay Mallick
The problem "A general characterization of uniqueness polynomial for non-critically injective polynomials" has been remained open since the last two decades. In this paper, we expl…
math.CV2024
Gateaux differentiability in the Banach space of meromorphic functions
Sanjay Mallick, Debmalya Sain
We study the Gateaux differentiability in the Banach space of meromorphic functions and obtain a complete characterization of the same, by using Birkhoff-James orthogonality techni…