A certain class of analytic functions and the growth rate of Hankel determinant

Journal of inequalities and applications

Wasim Ul-Haq¹ 

关键词: analytic functions;    close-to-convexity;    Hankel determinant;   

DOI  :  10.1186/1029-242X-2012-309

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The growth rate of coefficients and Hankel determinant for any class of analytic functions is well known. In this present investigation, we define a class of analytic functions related to strongly close-to-convex functions. We investigate different interesting properties for this class including arc length, the growth rate of coefficients and the growth rate of Hankel determinant by using the method of Noonan and Thomas. Several well-known results appear as special cases from our results. MSC:30C45, 30C50.

【 授权许可】

CC BY