Priyanka Goel

collaborators

3 papers

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),…

math.CV2019

On sharp bounds of certain Close-to-Convex functions

Priyanka Goel, S. Sivaprasad Kumar

We derive general formula for the fourth coefficient of the functions belonging to the Carathéodory class involving the parameters lying in the open unit disk. Further, we obtain s…