Ming-Sheng Liu

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math.CV2025

Multidimensional analogues of the improved Bohr's inequality

Molla Basir Ahamed, Sujoy Majumder, Nabadwip Sarkar +1

The main aim of this article is to establish a sharp improvement of the classical Bohr inequality for bounded holomorphic mappings in the polydisk $P Δ (0; 1_{n})$ . We also pro…

math.CV2025

Bohr phenomena for slice regular functions over Quaternions

Sabir Ahammed, Molla Basir Ahamed, Ming-Sheng Liu

Slice regular functions are a generalization of holomorphic functions to the setting of quaternions (and more generally, Clifford algebras). In this paper, we first establish the B…

math.CV2012

Radius Constants for Analytic Functions with Fixed Second Coefficient

Rosihan M. Ali, Moradi Nargesi Mahnaz, V. Ravichandran

Let $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ be analytic in the unit disk with second coefficient $a_{2}$ satisfying $∣ a_{2} ∣ = 2 b$ , $0 \leq b \leq 1$ . Sharp radius of Janowski starlikeness and o…