Md Firoz Ali

activity

20162026

most citedThe Schwarzian norm estimates for Janowski convex functions

5 citations · 11 across the 15 of their papers we have counts for

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16 papers · 1 filter

math.CV2026

On the logarithmic coefficients of Ma-Minda type convex functions

Md Firoz Ali, Lokenath Thakur

In this paper, we investigate three specific subclasses of Ma-Minda type convex functions: namely, convex functions of order $α$ , Janowski convex functions, and Robertson functions…

math.CV2026

Bloch and Landau constants for meromorphic functions

Md Firoz Ali, Shaesta Azim

Let $M_{1} (λ)$ be the class of all meromorphic functions $f$ in the unit disk $D = {z \in C} : ∣ z ∣ < 1$ having a simple pole at $λ\in \overline{\mathbb{D}} \se…

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.CV2023

On the pre-Schwarzian norm of certain Logharmonic mappings

Md Firoz Ali, Sushil Pandit

We connect the pre-Schwarzian norm of logharmonic mappings to the pre-Schwarzian norm of an analytic function and establish some necessary and sufficient conditions under which loc…

math.CV2023

Pre-Schwarzian and Schwarzian norm estimates for harmonic functions with fixed analytic part

Md Firoz Ali, Sushil Pandit

In the present article, we discuss about the estimate of the pre-Schwarzian and Schwarzian norms for locally univalent harmonic functions $f = h + g$ in the unit disk $\math…

math.CV2023

Schwarzian Norm Estimate for Functions in Robertson Class

Md Firoz Ali, Sanjit Pal

Let $A$ denote the class of analytic functions $f$ in the unit disk $D = {z \in C : ∣ z ∣ < 1}$ normalized by $f (0) = 0$ , $f^{'} (0) = 1$ . For $- π /2 < α < π /2$ , let $\mathc…

math.CV2022★ 5 cited

The Schwarzian norm estimates for Janowski convex functions

Md Firoz Ali, Sanjit Pal

For $- 1 \leq B < A \leq 1$ , let $C (A, B)$ denote the class of normalized Janowski convex functions defined in the unit disk $D := {z \in C : ∣ z ∣ < 1}$ that satisfy…

math.CV2022

Schwarzian norm estimates for some classes of analytic functions

Md Firoz Ali, Sanjit Pal

Let $A$ denote the class of analytic functions $f$ in the unit disk $D = {z \in C : ∣ z ∣ < 1}$ normalized by $f (0) = 0$ , $f^{'} (0) = 1$ . In the present article, we ob…

math.CV2021

Pre-Schwarzian Norm Estimates for the class of Janowski Starlike Functions

Md Firoz Ali, Sanjit Pal

For $- 1 \leq B < A \leq 1$ , let $S^{*} (A, B)$ denote the class of Janowski starlike functions which satisfy the subordination relation $z f^{'} (z) / f (z) ≺ (1 + A z) / (1 + B z)$ . In the p…

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…

math.CV2016★ 3 cited

Logarithmic coefficients of some close-to-convex functions

Md. Firoz Ali, A. Vasudevarao

The logarithmic coefficients $γ_{n}$ of an analytic and univalent function $f$ in the unit disk $D = {z \in C : ∣ z ∣ < 1}$ with the normalization $f (0) = 0 = f^{'} (0) - 1$ are defi…

math.CV2016

On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions

Md Firoz Ali, A. Vasudevarao

For $- 1 \leq B < A \leq 1$ , let $S^{*} (A, B)$ denote the class of normalized analytic functions $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ in $∣ z ∣ < 1$ which satisfy the subordination rel…