Fourth Hankel determinant for a new subclass of bounded turning functions. (English) Zbl 1538.30021
Summary: In this paper, we consider a new subfamily of holomorphic (analytic) functions with bounded turning in the open unit disk \(\mathbb{U} = \{z; |z|<1\}\). Here, in this paper, we focus the coefficient estimates and upper bounds of fourth Hankel determinant for this family. Moreover, the same bounds have been investigated for two-fold and three-fold symmetric functions.
MSC:
30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
30C50 | Coefficient problems for univalent and multivalent functions of one complex variable |