Some properties of a new subclass of tilted star-like functions with respect to symmetric conjugate points

AIMS Mathematics

article

Daud Mohamad¹  Nur Hazwani Aqilah Abdul Wahid¹  Nurfatin Nabilah Fauzi¹ 

[1] Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA

关键词: univalent functions;    star-like functions with respect to symmetric conjugate points;    subordination;    coefficient estimates;    Hankel determinant;    Fekete-Szegö inequality;    distortion bound;    growth bound;   

DOI  :  10.3934/math.2023097

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we introduced a new subclass $ S_{SC}^*\left({\alpha, \delta, A, B} \right) $ of tilted star-like functions with respect to symmetric conjugate points in an open unit disk and obtained some of its basic properties. The estimation of the Taylor-Maclaurin coefficients, the Hankel determinant, Fekete-Szegö inequality, and distortion and growth bounds for functions in this new subclass were investigated. A number of new or known results were presented to follow upon specializing in the parameters involved in our main results.

【 授权许可】

CC BY