19 citations · 81 across the 22 of their papers we have counts for
8 papers · 1 filter
Geometry of the Cassinian metric and its inner metric
Zair Ibragimov, Manas Ranjan Mohapatra, Swadesh Kumar Sahoo +1
The Cassinian metric and its inner metric have been studied for subdomains of the -dimensional Euclidean space () by the first named author. In this paper…
Estimates for the hyperbolic and quasihyperbolic metrics in hyperbolic regions
Swadesh Kumar Sahoo
In this paper we consider ordinary derivative of universal covering mappings of hyperbolic regions in the complex plane. We obtain sharp bounds for the ratio $|f'(z)|/{\rm…
Maximal area integral problem for certain class of univalent analytic functions
Saminathan Ponnusamy, Swadesh Kumar Sahoo, Navneet Lal Sharma
One of the classical problems concerns the class of analytic functions on the open unit disk which have finite Dirichlet integral , where $$Δ(r,f)=\iint_{|z|<r}…
A note on a class of -valent starlike functions of order beta
Swadesh Sahoo, Navneet Lal Sharma
In this paper we obtain sharp coefficient bounds for certain -valent starlike functions of order , . Initially this problem was handled by Aouf in "M. K. Aouf, On a…
On maximal area integral problem for analytic functions in the starlike family
S. K. Sahoo, N. L. Sharma
For an analytic function defined on the unit disk , let denote the area of the image of the subdisk under , where . In 1990, Yamashita conj…
Geometric properties of basic hypergeometric functions
Sarita Agrawal, Swadesh Sahoo
In this paper we consider basic hypergeometric functions introduced by Heine. We study mapping properties of certain ratios of basic hypergeometric functions having shifted paramet…