13 citations · 16 across the 5 of their papers we have counts for
10 papers · 1 filter
Continuity and bi-Lipschitz properties of the Hurwitz and its invariant metrics
Arstu, Swadesh Kumar Sahoo
This paper attempts to study the continuity of the Hurwitz metric in arbitrary proper subdomains of the complex plane and to introduce a new invariant metric bi-Lipschitz equivalen…
Bohr inequalities for certain integral operators
Shankey Kumar, Swadesh Kumar Sahoo
In this article, we determine sharp Bohr-type radii for certain complex integral operators defined on a set of bounded analytic functions in the unit disk.
Nehari's univalence criteria, pre-Schwarzian derivative and applications
Sarita Agrawal, Swadesh Kumar Sahoo
In this paper we study sharp estimates of pre-Schwarzian derivatives of functions belonging to the Nehari-type classes by using techniques from differential equations. In the seque…
Preserving properties and pre-Schwarzian norms of nonlinear integral transforms
Shankey Kumar, Swadesh Kumar Sahoo
In this article, we study preserving properties of certain nonlinear integral transforms in some classical families of normalized analytic univalent functions defined in the unit d…
Carathéodory density of the Hurwitz metric on plane domains
Arstu, Swadesh Kumar Sahoo
It is well-known that the Carathéodory metric is a natural generalization of the Poincaré metric, namely, the hyperbolic metric of the unit disk. In 2016, the Hurwitz metric was in…
A generalized Hurwitz metric
Arstu, Swadesh Kumar Sahoo
In 2016, the Hurwitz metric was introduced by D. Minda in arbitrary proper subdomains of the complex plane and he proved that this metric coincides with the Poincaré's hyperbolic m…