Prachi Gupta

most citedInclusion relations and radius problems for a subclass of starlike functions

6 citations · 6 across the 4 of their papers we have counts for

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math.CV2021

Geometric properties of a domain with cusps

Shweta Gandhi, Prachi Gupta, Sumit Nagpal +1

For $n \geq 4$ (even), the function $φ_{n L} (z) = 1 + n z / (n + 1) + z^{n} / (n + 1)$ maps the unit disk $D$ onto a domain bounded by an epicycloid with $n - 1$ cusps. In this paper…

math.CV2021

Marx-Strohhäcker theorem for Multivalent Functions

Prachi Gupta, Sumit Nagpal, V. Ravichandran

Some differential implications of classical Marx-Strohhäcker theorem are extended for multivalent functions. These results are also generalized for functions with fixed second coef…

math.CV2020★ 6 cited

Inclusion relations and radius problems for a subclass of starlike functions

Prachi Gupta, Sumit Nagpal, V. Ravichandran

By considering the polynomial function $ϕ_{c a r} (z) = 1 + z + z^{2} /2,$ we define the class $\Scar$ consisting of normalized analytic functions $f$ such that $z f^{'} / f$ is subordinate to $ϕ_{c…