Third Hankel determinant for a subclass of convex functions associated with a domain bounded by an epicycloid

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2025年10月7日

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E. K. Nithiyanandham,
B. Srutha Keerthi

摘要

In the current study, we investigate a subclass of convex functions, denoted by $K_{n - 1, L}$ $\mathcal{K}_{n-1,\mathcal{L}}$ , associated with a domain bounded by an epicycloid with $n - 1$ $n-1$ cusps. The primary objective is to derive sharp bounds for the coefficient bounds, the Fekete–Szegö inequality, and the second Hankel determinant, as well as to establish an upper bound for the third Hankel determinant for this newly introduced class.