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

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.