학술논문
The Bounds of Some Determinants for Starlike Functions of Order Alpha.
Document Type
Article
Author
Source
Subject
*STAR-like functions
*MATHEMATICAL bounds
*DETERMINANTS (Mathematics)
*UNIVALENT functions
*ESTIMATION theory
*
*
*
*
Language
ISSN
0126-6705
Abstract
In the present paper, sharp estimates of some determinants over the class $$\mathcal {S}^*(\alpha ),\ \alpha \in [0,1)$$ , of analytic functions f such that $${{\mathrm{Re}}}(zf'(z)/f(z))>\alpha ,$$ $$z\in {{\mathbb {D}}}:=\left\lbrace z \in {{\mathbb {C}}} : |z|<1 \right\rbrace $$ , are computed. [ABSTRACT FROM AUTHOR]