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math.CV2026
Normality Criteria for Differential Monomials and the Sharpness of Lappan-type Theorems
Molla Basir Ahamed, Sanju Mandal, Nguyen Van Thin
A fundamental result of Lappan [Comment. Math. Helv. \textbf{49} (1974), 492-495.] states that a meromorphic function in the unit disk is normal if and only if its…
math.CV2024
Results on normal harmonic and -normal harmonic mappings
Nikhil Bharti, Nguyen Van Thin
In this paper, we study the concepts of normal functions and -normal functions in the framework of planar harmonic mappings. We establish the harmonic mapping counterpart of th…
math.CV2024
Weighted Yosida Mappings of Several Complex Variables
Nikhil Bharti, Nguyen Van Thin
Let be a complete complex Hermitian manifold with metric and let be positive function such that $$γ_r=\sup\limits_{r\leq a<b}\le…