By Shweta Gandhi and others

For *n\geq 4* (even), the function *\varphi_{n\mathcal{L}}(z)=1+nz/(n+1)+z^n/(n+1)* maps the unit disk *\mathbb{D}* onto a domain bounded by an epicycloid with *n-1* cusps. In this paper, the class *\mathcal{S}^*_{n\mathcal{L}} = \mathcal{S}^*(\varphi_{n\mathcal{L}})* is studied and various inclusion relations are established with other subclasses of starlike functions. The bounds on initial coefficients is... Show more

April 2, 2021

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Geometric properties of a domain with cusps

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