Journal of Function Spaces (Jan 2017)

Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative

  • Xiaofei Li,
  • Deng Ding,
  • Liping Xu,
  • Chuan Qin,
  • Songbo Hu

DOI
https://doi.org/10.1155/2017/5739196
Journal volume & issue
Vol. 2017

Abstract

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In this paper, we define and study some subclasses of multivalent analytic functions of higher order in the unit disc. These classes generalize some classes previously studied. We obtain coefficient inequalities, distortion theorems, extreme points, and integral mean inequalities. We derive some results as special cases.