Janowski type close-to-convex functions associated with conic regions

Journal of inequalities and applications

Shahid Mahmood¹ 

关键词: close-to-convex functions;    Janowski functions;    conic domain;    30C45;    30C50;   

DOI  :  10.1186/s13660-017-1535-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions. This work includes certain geometric properties like sufficiency criteria, coefficient estimates, arc length, the growth rate of coefficients of Taylor series, integral preserving properties of these functions.

【 授权许可】

CC BY