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

Abstract

We show the univalence of T-symmetric Suffridge type polynomials S4(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 Sn(T) in the sense of Ruscheweyh.

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