2005/11/03 by G. P. Kapoor, Kapoor, G. P., Ambuj Kumar Mishra +1
Mathematics · #30C45 #30C50 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.math/0511076
openalex publication_date 2005/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present paper, the coefficient estimates are found for the class \mathcal S*-1(α) consisting of inverses of functions in the class of univalent starlike functions of order α in \mathcal D=\z∈\mathbb C:|z|<1\. These estimates extend the work of \it Krzyz, Libera and Zlotkiewicz [Ann. Univ. Marie Curie-Sklodowska, 33(1979), 103-109] who found sharp estimates on only first two coefficients for the functions in the class \mathcal S*-1(α). The coefficient estimates are also found for the class ∑*-1(α), consisting of inverses of functions in the class ∑^*(α) of univalent starlike functions of order α in \mathcal V=\z∈\mathbb C:1