S. Devi

most citedIntegral transforms of functions to be in the Pascu class using duality techniques

10 citations · 17 across the 5 of their papers we have counts for

collaborators

5 papers

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.CV2013★ 10 cited

Integral transforms of functions to be in the Pascu class using duality techniques

Satwanti Devi, A. Swaminathan

Let $W_{β} (α, γ)$ , $β < 1$ , denote the class of all normalized analytic functions $f$ in the unit disc $D = {z \in C : ∣ z ∣ < 1}$ such that \begin{align*} {\rm Re\,} \l…