A. Swaminathan

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20112025

most citedStarlike And Convex Functions Associated with A Nephroid domain having Cusps On The Real Axis

95 citations · 183 across the 31 of their papers we have counts for

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math.CV2019★ 95 cited

Starlike And Convex Functions Associated with A Nephroid domain having Cusps On The Real Axis

Lateef Ahmad Wani, A. Swaminathan

In this paper, we show that the Carathéodory function $φ_{N e} (z) = 1 + z - z^{3} /3$ maps the open unit disk $D$ onto the interior of the nephroid, a $2$ -cuspe…

math.CV2019★ 18 cited

Radius Problems For Functions Associated with a Nephroid Domai

Lateef Ahmad Wani, A. Swaminathan

Let $S_{N e}^{*}$ be the collection of all analytic functions $f (z)$ defined on the open unit disk $D$ and satisfying the normalizations $f (0) = f^{'} (0) - 1 = 0$ such that…

math.CV2019★ 2 cited

Differential Subordinations for Starlike Functions Associated With A Nephroid Domain

Lateef Ahmad Wani, A. Swaminathan

Let $A$ be the set of all analytic functions $f$ defined in the open unit disk $D$ and satisfying $f (0) = f^{'} (0) - 1 = 0$ . In this paper, we consider the function $φ_{\…

math.CV2019

Sufficient Conditions and Radius Problems for a starlike Class Involving a Differential Inequality

Lateef Ahmad Wani, A. Swaminathan

Let $A_{n}$ be the class of analytic functions $f (z)$ of the form $f (z) = z + \sum_{k = n + 1}^{\infty} a_{k} z^{k}, n \in N$ and let \begin{align*} Ω_n:=\left\{f\in\mathcal{A}_n:\l…