Md Firoz Ali

activity

20192025

most citedOn a class of univalent functions defined by a differential inequality

2 citations · 3 across the 4 of their papers we have counts for

collaborators

6 papers

math.CV2025

On analytic functions related to Booth-lemniscate

Md Firoz Ali, Md Nurezzaman, Lokenath Thakur

For $0 \leq α \leq 1$ , let $BS (α)$ be the class of all analytic functions in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ with normalization $f (0) = 0$ and $f^{'} (0) = 1$ …

math.CV2025

On a certain class of starlike functions

Md Firoz Ali, Md Nurezzaman

Let $S_{u}^{*}$ denote the class of all analytic functions $f$ in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ , normalized by $f (0) = f^{'} (0) - 1 = 0$ that satisfies the ineq…

math.CV2024

Pre-Schwarzian norm estimate for certain Ma-Minda Class of functions

Md Firoz Ali, Md Nurezzaman, Sanjit Pal

Let $S^{*} (φ)$ be the class of all analytic functions $f$ in the unit disk $D = {z \in C : ∣ z ∣ < 1}$ , normalized by $f (0) = f^{'} (0) - 1 = 0$ that satisfy the subordinat…

math.CV2020★ 2 cited

On a class of univalent functions defined by a differential inequality

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

For $0 < λ \leq 1$ , let $U (λ)$ be the class analytic functions $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ in the unit disk $D$ satisfying $∣ f^{'} (z) (z / f (z))^{2} - 1∣ < λ$ and $\mat…

math.CV2020★ 1 cited

An application of Schur algorithm to variability regions of certain analytic functions-II

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

We continue our study on variability regions in \cite{Ali-Vasudevarao-Yanagihara-2018}, where the authors determined the region of variability $V_Ω^j (z_0, c ) = \{ \int_0^{z_0} z^…

math.CV2019

An application of the Schur algorithm to variability regions of certain analytic functions

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

Let $Ω$ be a convex domain in the complex plane $C$ with $Ω \neq = C$ , and $P$ be a conformal map of the unit disk $D$ onto $Ω$ . Let $F_{Ω}$ be…