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Mridula Mundalia

Publications and source records attributed to Mridula Mundalia.

4 recordsLinked to original sources
arXiv2024

On Sufficient Conditions for the class $S^*_\cosh\sqrt{z}$

Using differential subordination technique, such as Briot-Bouquet and others, we establish sufficient conditions for functions to be in a class $\mathcal{S}^{*}_{\varrho},$ consisting of starlike functions that are associated with $\varrho(z):=\cosh \sqrt{z}.$ %Further, using admissibility conditions, some differential subordination results for $\mathcal{S}^{*}_{\varrho}$ are derived. Furthermore, by employing admissibility conditions, we obtain various differential subordination results pertaining to the class $\mathcal{S}^{*}_{\varrho}.$

math.CV↗
arXiv2023

On a subfamily of starlike functions related to Hyperbolic Cosine function

We introduce and study a new Ma-Minda subclass of starlike functions $\mathcal{S}^*_{\varrho},$ defined as $$\mathcal{S}^{*}_{\varrho}:=\left\{f\in\mathcal{A}:\frac{zf'(z)}{f(z)} \prec \cosh \sqrt{z}=:\varrho(z), z\in\mathbb{D} \right\},$$ associated with an analytic univalent function $\cosh \sqrt{z},$ where we choose the branch of the square root function so that $\cosh\sqrt{z}=1+z/2!+z^{2}/{4!}+\cdots.$ We establish certain inclusion relations for $\mathcal{S}^{*}_{\varrho}$ and deduce sharp $\mathcal{S}^{*}_{\varrho}-$radii for certain subclasses of analytic functions.

math.CV↗
arXiv2023

On a Class of Non-Univalent functions Associated with a Parabolic Region

In the present investigation, we introduce and study the geometric properties of a class of analytic functions, associated with a parabolic region majorly lying in the left-half plane. Further we establish radius and majorization results for the class under study with pictorial illustrations of some of its special cases. Also we derive some sufficient conditions for the class under consideration.

math.CV↗