On a conjecture for the fifth coefficients for the class \mathcal U(λ)

2020/11/16 by Milutin Obradović, Obradović, Milutin, Nikola Tuneski +1
Mathematics · #30C45 #30C50 #30C55 #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2011.08700

openalex publication_date 2020/11/16 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

Let f be function that is analytic in the unit disk \mathbb D=\z:|z|<1\, normalized such that f(0)=f'(0)-1=0, i.e., of type f(z)=z+∑_n=2^∞ a_n zⁿ. If additionally, \[ | ((z)/(f(z)))² f'(z) -1|

Related

• Zalcman and generalized Zalcman conjecture for the class U
• Relations of the class U(λ) to other families of functions
• Some properties of the class U
• Logarithmic Coefficients and a Coefficient Conjecture for Univalent Functions
• On certain properties of the class U(λ)