Author

Abhijit Banerjee

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Preprint Oct 2026

Toeplitz determinants for starlike mappings of order {\alpha} in several complex variables

Let $F(z)=zf(z)$, where $f$ is a normalized scalar holomorphic function on the unit ball $\mathbb B$ of a complex Banach space $X$ or on the unit polydisk $\mathbb U^n$ of $\mathbb{C}^n$. We establish sharp bounds for two Toeplitz determinants involving the second, third and fourth Fr\'echet derivatives of $F$ when $F$...

S. Panja, Sujoy Majumder, Abhijit Banerjee · 0 citations

Preprint Jul 2026

Coefficient estimates and Bohr phenomenon for pluriharmonic mappings in the polydisc

We introduce the class $\mathscr{P}_{\mathcal{H}_n^0}(\alpha)$ $(0\leq \alpha<1)$ of normalized pluriharmonic mappings in the setting of several complex variables. This class extends the harmonic family $\mathscr{P}_{\mathcal{H}}^{0}(\alpha)$ to the multidimensional framework. We establish sharp coefficient estimates a...

Sujoy Majumder, Abhijit Banerjee, S. Anja et al. · 0 citations