6 papers
Coefficient problems of Starlike Functions Related to a Balloon-Shaped Domain
S. Sivaprasad Kumar, A. Tripathi
Recent advances in image and signal processing have drawn on geometric function theory, particularly coefficient estimate problems. Motivated by their significance, we introduce a…
Starlike Functions Associated with a Non-Convex Domain
S. Sivaprasad Kumar, Surya Giri
We introduce and study a class of starlike functions associated with the non-convex domain \[ \mathcal{S}^*_{nc} = \left\{ f \in \mathcal{A} : \frac{z f'(z)}{f(z)} \prec \frac{1+z}…
On estimation of Hankel determinants for certain class of starlike functions
S. Sivaprasad Kumar, Neha Verma
In the present study, we consider two subclasses starlike and convex functions, denoted by and respectively, associated…
Second and Third order differential subordination for exponential function
S. Sivaprasad Kumar, Neha Verma
This article presents several findings regarding second and third-order differential subordination of the form: …
Higher order differential subordinations for certain starlike functions
Neha Verma, S. Sivaprasad Kumar
In this paper, we employ a novel second and third-order differential subordination technique to establish the sufficient conditions for functions to belong to the classes $\mathcal…
On Starlike Functions Associated with a Bean Shaped Domain
S. Sivaprasad Kumar, Pooja Yadav
In this paper, we introduce and explore a new class of starlike functions denoted by , defined as follows: $$\mathcal{S}^*_{\mathfrak{B}}=\{f\in \math…