5 papers
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 in context of e…
Sufficient conditions and radius problems for the Silverman class
S. Sivaprasad Kumar, Priyanka Goel
For and 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…
Application of Pythagorean means and Differential Subordination
S. Sivaprasad Kumar, Priyanka Goel
For let be the convex weighted harmonic mean of and We establish differential subordination implications of the form \begin{equation*} H_α(p(z),…
On a Generalized Briot-Bouquet type Differential Subordination
S. Sivaprasad Kumar, Priyanka Goel
We introduce and study the following special type of differential subordination implication: \begin{equation}\label{abs} p(z)Q(z)+\frac{zp'(z)}{βp(z)+α}\prec h(z)\quad\Rightarrow p…
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…