5 papers
Meromorphic functions with small Schwarzian derivative
Vibhuti Arora, Swadesh Kumar Sahoo
We consider the family of all meromorphic functions of the form analytic and locally univalent in the puncture disk $\mathbb{D}_0:…
Mapping properties of a scale invariant Cassinian metric and a Gromov hyperbolic metric
Manas Ranjan Mohapatra, Swadesh Kumar Sahoo
In this paper, we consider a scale invariant Cassinian metric and a Gromov hyperbolic metric. We discuss a distortion property of the scale invariant Cassinian metric under Möbius…
A Gromov hyperbolic metric vs the hyperbolic and other related metrics
Manas Ranjan Mohapatra, Swadesh Kumar Sahoo
We mainly consider two metrics: a Gromov hyperbolic metric and a scale invariant Cassinian metric. We compare these two metrics and obtain their relationship with certain well-know…
Radius of convexity of partial sums of odd functions in the close-to-convex family
Sarita Agrawal, Swadesh Kumar Sahoo
We consider the class of all analytic and locally univalent functions of the form , , satisfying the condition $$ {\rm Re}\,\…
On coefficient functionals associated with the Zalcman conjecture
Sarita Agrawal, Swadesh Kumar Sahoo
We consider certain subfamilies, of the family of univalent functions in the open unit disk, defined by means of sufficient coefficient conditions for univalency. This article is d…