2018/02/11 by Rahim Kargar, Kargar, R., Ali Ebadian +3
Materials Science · Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Polymer Synthesis and Characterization
paper · pdf · doi:10.48550/arxiv.1802.03799
openalex publication_date 2018/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we investigate an interesting subclass BS(α) (0≤ α<1) of starlike functions in the unit disk Δ. The class BS(α) was introduced by Kargar et al. [R. Kargar, A. Ebadian and J. Sokół, \it On Booth lemniscate and starlike functions, Anal. Math. Phys. (2017) DOI: 10.1007/s13324-017-0187-3] which is strongly related to the Booth lemniscate. Some geometric properties of this class of analytic functions including, radius of starlikeness of order γ (0≤γ<1), the image of f(\z:|z|