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

2023/05/17 by Kristina Oganesyan, Oganesyan, Kristina
Mathematics · #30C10 #30C55 #Advanced Mathematical Identities #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2305.10402

openalex publication_date 2023/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 S_n^(T) in the sense of Ruscheweyh.

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