On Integral Means of Star-Like Functions

Proceedings Mathematical Sciences

Larisa Gromova²  Alexander Vasil'ev¹ 

[1] Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 0-V, Valparaíso, Chile$$;Department of Mathematics and Mechanics, Saratov State University, Saratov 00, Russia$$

关键词: Star-like function;    integral mean;    univalent function.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We study univalent holomorphic functions in the unit disk $U = {z:|z| < 1}$ of the form $f(z) = z + 𝛴_{n=2}^∞ a_n z^n$ that satisfy the condition Re $zf'(z)/f(z) > 𝛼$ with $𝛼 in [0, 1)$ in 𝑈. Some integral means of such functions are estimated.

【 授权许可】

Unknown