Author

Sujoy Majumder

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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 Oct 2026

Alpha-convex functions in complex Banach spaces

Let $\mathbb{B}$ be the unit ball in a complex Banach space ${\mathbb X}$. We study biholomorphic mappings $F: \mathbb{B} \to {\mathbb X}$ of the form $F(z) = f(z)z$ for $z \in \mathbb{B}$, where $f: \mathbb{B} \to \mathbb{C}$ is a holomorphic function satisfying $f(0) = 1$. Our main contributions are as follows: Inclu...

Janusz Sokół, Sujoy Majumder, Goutam Halder · 0 citations