M. B. Ahamed

activity

20182026

most citedThe Bohr Phenomenon for analytic functions on simply connected domains

28 citations · 31 across the 80 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CV2021

Class of meromorphic functions partially shared values with their differences or shifts

Molla Basir Ahamed

Two meromorphic functions $f$ and $g$ are said to share a value $s \in C \cup {\infty}$ $C M$ $(I M)$ provided that $f (z) - s$ and $g (z) - s$ have the same set of ze…

math.CV2021

Bohr-Rogosinski and improved Bohr type inequalities for certain fully starlike harmonic mappings

Molla Basir Ahamed, Vasudevarao Allu

The classical Bohr inequality states that if $f$ is an analytic function with the power series representation $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ in the unit disk $ \mathbb{D}:=\{…

math.CV2021

Bohr phenomenon for certain classes of harmonic mappings

Molla Basir Ahamed, Vasudevarao Allu

Bohr phenomenon for analytic functions $f$ where $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ , first introduced by Harald Bohr in $1914$ , deals with finding the largest radius $r_{f}$ , $…

math.CV2021★ 1 cited

Improved Bohr radius for the class of starlike log-harmonic mappings

Molla Basir Ahamed, Vasudevarao Allu

Let $H (D)$ be the linear space of analytic functions on the unit disk $D = {z \in C : ∣ z ∣ < 1}$ and let $ \mathcal{B}=\{w\in \mathcal{H}(\mathbb…