J. Prajapat

activity

20192024

most citedCertain geometric properties of close-to-convex harmonic mappings

1 citations · 1 across the 7 of their papers we have counts for

collaborators

Showing math.CVShow all

7 papers · 1 filter

math.CV2024

Radii for sections of functions convex in one direction

Prachi Prajna Dash, Jugal Kishore Prajapat, Naveen Kumari

Let $G (α)$ denote the family of functions $f (z)$ in the open unit disk $D := {z \in C : ∣ z ∣ < 1}$ that satisfy $f (0) = 0 = f^{'} (0) = 1$ and \[\Re \left(1+ \dfrac{…

math.CV2024

Certain subclass of harmonic functions associated with univalent functions

Prachi Prajna Dash, Jugal Kishore Prajapat

In this paper, we define a subclass of sense-preserving harmonic functions associated with a class of analytic functions satisfying a differential inequality. We then establish a c…

math.CV2024

On certain analytic functions defined by differential inequality

Prachi Prajna Dash, Jugal Kishore Prajapat

For the family of analytic functions $f (z)$ in the open unit disk $D$ with $f (0) = f^{'} (0) - 1 = 0$ , satisfying the differential equation \begin{equation*} zf'(z) - f(z) = \dfrac{…

math.CV2021

Radius of injectivety for harmonic mappings with fixed analytic part

Jugal Kishore Prajapat, Manivannan Mathi

In this paper, we study non sense-preserving harmonic mappings $f = h + g$ in $D$ when its analytic part $h$ is convex and injective in $D$ and obtain radi…

math.CV2021

On a subclass of close-to-convex harmonic mappings

Manivannan Mathi, Jugal Kishore Prajapat

For $α > - 1$ and $β > 0,$ let $B_{H}^{0} (α, β)$ denote the class of sense preserving harmonic mappings $f = h + g$ in the open unit disk $D$ satisfy…

math.CV2019

Hardy Spaces of Certain Convolution Operator

Rajbala, Jugal K. Prajapat

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 functi…