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Rajbala

Publications and source records attributed to Rajbala.

2 recordsLinked to original sources
arXiv2019

Certain geometric properties of close-to-convex harmonic mappings

In this article, we introduce a new family of sense preserving harmonic mappings f in the open unit disk and prove that functions in this family are close-to-convex. We give some basic properties such as coefficient bounds, growth estimates, convolution and determine the radius of convexity for the functions belonging to this family. In addition, we construct certain harmonic univalent polynomials belonging to this family.

math.CV↗
arXiv2019

Hardy Spaces of Certain Convolution Operator

In this article, we determine conditions on the parameters of a generalized convolution operator such that it belongs to the Hardy space and to the space of bounded analytic functions. Results obtained are new and their usefulness is depicted by deducing several interesting examples.

math.CV↗