P. Dash

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math.CV2024

Radii for sections of functions convex in one direction

Prachi Prajna Dash, Jugal Kishore Prajapat, Naveen Kumari

Let $G (I^\pm)$ 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{…