Shankey Kumar

most citedPreserving properties and pre-Schwarzian norms of nonlinear integral transforms

13 citations · 15 across the 2 of their papers we have counts for

collaborators

3 papers

math.CV2020★ 2 cited

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.

math.CV2020★ 13 cited

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…

math.FA2018

Properties of $β$ -Cesàro operators on $α$ -Bloch space

Shankey Kumar, Swadesh Kumar Sahoo

For each $α > 0$ , the $α$ -Bloch space is consisting of all analytic functions $f$ on the unit disk satisfying $sup_{∣ z ∣ < 1} (1 - ∣ z ∣^{2})^{α} ∣ f^{'} (z) ∣ < + \infty.$ In this paper, we cons…

Bohr inequalities for certain integral operators

Preserving properties and pre-Schwarzian norms of nonlinear integral transforms

Properties of β-Cesàro operators on α-Bloch space

Properties of $β$ -Cesàro operators on $α$ -Bloch space