Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (2): 261-268.

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Some Properties for New Subclass of Analytic Functions

  

  1. 1. School of Mathematical Sciences, Beijing Normal University 2. Department of Mathematics and Statistics, Chifeng College

  • Received:2011-11-25 Online:2013-06-30 Published:2023-03-02
  • About author:TANG Huo(1979-), male, native of Anqing, Anhui, a lecturer of Chifeng College, engages in complex analysis and applications; DENG Guan-tie(1959-), male, native of Changsha, Hunan, a professor of Beijing Normal University, engages in complex analysis and applications; LI Shu-hai(1966-), male, native of Chifeng, Inner Mongolia, a professor of Chifeng College, engages in geometric function theory and applications; MA Li-na(1982-), female, native of Chifeng, Inner Mongolia, a lecturer of Chifeng College, engages in harmonic analysis.
  • Supported by:
    Supported by the Natural Science Foundation of China(11271045); Supported by the Higher School Doctoral Foundation of China(20100003110004); Supported by the Natural Science Foundation of Inner Mongolia(2010MS0117)

Abstract: A new subclass A(β12,···,βk;λ) of analytic functions f(z) in the open unit disk U is introduced and studied. We provide coefficient inequalities, distortion theorems, extreme points and radius of close-to-convexity, starlikeness and convexity of this class.

Key words: analytic functions, coefficient inequalities, distortion inequalities, extreme points, radius

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