A. Swaminathan

activity

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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Showing 2014Show all

5 papers · 1 filter

math.CV2014★ 1 cited

Inclusion properties of Generalized Integral Transform using Duality Techniques

Satwanti Devi, A. Swaminathan

Let $W_{β}^{δ} (α, γ)$ be the class of normalized analytic functions $f$ defined in the region $∣ z ∣ < 1$ and satisfying \begin{align*} {\rm Re\,} e^{iϕ}\left(\dfrac{}{}(1\!-\!α\!…

math.CV2014★ 1 cited

Convexity of the Generalized Integral Transform and Duality Techniques

Satwanti Devi, A. Swaminathan

Let $W_{β}^{δ} (α, γ)$ be the class of normalized analytic functions $f$ defined in the domain $∣ z ∣ < 1$ satisfying \begin{align*} {\rm Re\,} e^{iϕ}\left(\dfrac{}{}(1\!-\!α\!+\!2…

math.CV2014★ 2 cited

Starlikeness of the generalized integral transform using duality techniques

Satwanti Devi, A. Swaminathan

For $α \geq 0$ , $δ > 0$ , $β < 1$ and $γ \geq 0$ , the class $W_{β}^{δ} (α, γ)$ consist of analytic and normalized functions $f$ along with the condition \begin{align*} {\rm Re\,} e^{i…

math.CV2014★ 3 cited

Order of Starlikeness and Convexity of certain integral transforms using duality techniques

Satwanti Devi, A. Swaminathan

For $α \geq 0$ , $β < 1$ and $γ \geq 0$ , the class $W_{β} (α, γ)$ satisfies the condition \begin{align*} {\rm Re\,} \left( e^{iϕ}\left((1-α+2γ)f/z+(α-2γ)f'+ γzf''-β\right)\frac{}{…

math.CA2014★ 17 cited

Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas

Cleonice F. Bracciali, Alagacone Sri Ranga, Anbhu Swaminathan

When a nontrivial measure $μ$ on the unit circle satisfies the symmetry $d μ (e^{i (2 π - θ)}) = - d μ (e^{i θ})$ then the associated OPUC, say $S_{n}$ , are all real. In this case, Delsarte a…