A class of analytic functions related to convexity and functions with bounded turning

AIMS Mathematics

Zhi-Gang Wang¹  M. Naeem²  T. Mahmood²  S. Hussain³  A. Rasheed³ 

[1] 1 School of Mathematics and Computing Science, Hunan First Normal University, Changsha 410205, Hunan, P. R. China;2 Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan;3 Department of Mathematics, Comsats University Islamabad, Abbottabad Campus 22010, Pakistan;

关键词: analytic functions;    convex functions;    uniformly convex functions;    functions with bounded turning;    subordination;   

DOI  :  10.3934/math.2020128

来源: DOAJ

【 摘 要 】

In this paper, we define a new subclass k-Q(α) of analytic functions, which generalizes the class of k-uniformly convex functions. Various interesting relationships between k-Q(α) and the class B(δ) of functions with bounded turning are derived.

【 授权许可】

Unknown