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arXiv · 2305.10402

Univalence of $T$-symmetric Suffridge type polynomials of degree $3T+1$

Kristina Oganesyan
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Abstract

We show the univalence of $T$-symmetric Suffridge type polynomials $S_4^{(T)}$ in the unit disk, confirming thereby the conjecture proposed by Dmitrishin, Gray, and Stokolos in their recent paper. The result also implies the quasi-extremality of $S_n^{(T)}$ in the sense of Ruscheweyh.

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Kristina Oganesyan. 2023-05-17. Univalence of $T$-symmetric Suffridge type polynomials of degree $3T+1$. https://arxiv.org/abs/2305.10402

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