Priyanka Goel

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20192022

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Showing 2022 · math.CVShow all

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math.CV2022

Radius Constants of Sigmoid Starlike Functions

Priyanka Goel, S. Sivaprasad Kumar

In the present investigation, we study the class of Sigmoid starlike functions, given by $S_{S G}^{*} = {f \in A : z f^{'} (z) / f (z) ≺ 2/ (1 + e^{- z})}$ in context of e…

math.CV2022

Sufficient conditions and radius problems for the Silverman class

S. Sivaprasad Kumar, Priyanka Goel

For $0 < α \leq 1$ and $λ > 0,$ let \begin{equation}\label{1} G_{λ,α}=\left\{f\in\mathcal{A}:\left|\dfrac{1-α+αzf''(z)/f'(z)}{zf'(z)/f(z)}-(1-α)\right|<λ, z\in\mathbb{D}\right\}, \end{eq…

math.CV2022

Application of Pythagorean means and Differential Subordination

S. Sivaprasad Kumar, Priyanka Goel

For $0 \leq α \leq 1,$ let $H_{α} (x, y)$ be the convex weighted harmonic mean of $x$ and $y .$ We establish differential subordination implications of the form \begin{equation*} H_α(p(z),…