arXiv subjects

Shalini Rana

Publications and source records attributed to Shalini Rana.

2 recordsLinked to original sources

arXiv2026

Sharp Bohr-Type inequalities for certain classes of close-to-convex functions

In this article, we determine the Rogosinski radii for certain subclasses of close-to-convex functions defined on open unit disc $\mathbb{D}= \{z \in \mathbb{C}: |z| < 1\}$. Furthermore, we establish improved versions of the classical Bohr inequality and the Bohr-Rogosinski inequality pertaining to these subclasses. We demonstrate that all results derived in the study are sharp.

math.CV↗

arXiv2022

Radii Constants for Functions with Fixed Second Coefficient

We introduce three classes of analytic functions with fixed second coefficient which are defined using the class $\mathcal{P}$ of analytic functions with positive real part. The objective is to determine radii such that the three classes are contained in various subclasses of starlike functions. The radii estimated in the present investigation are better than the radii obtained earlier. Furthermore, connections with previous known results are shown.

math.CV↗