Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (1): 10-23.

Previous Articles     Next Articles

Coefficient Estimate for Some Subclasses of Reciprocal Starlike Functions with Respect to Symmetric Conjugate Points

Ma Lina, Li Shuhai, Niu Xiaomeng, Zhang Haiyan   

  1. School of Mathematics and Statistics, Chifeng University, Inner Mongolia Chifeng 024000
  • Received:2017-02-17 Revised:2017-06-22 Online:2018-02-26 Published:2018-02-26
  • Supported by:
    Supported by the NSFC (11561001), the Higher School Research Foundation of Inner Mongolia (NJZY16251), the Higher School Research Foundation of Inner Mongolia (2015NJZY240) and the Higher School Research Foundation of Inner Mongolia (NJZY17300)

Abstract: In the present paper, we introduce some new classes of meromorphically reciprocal starlike functions with respect to symmetric conjugate points defined by subordination and obtain the integral representation and the coefficient estimates of the classes. The results improve the general known integral representations of meromorphic p-valent functions. Specially, we obtain the extreme function and give the graph of the range of the function. The results present here improve and generalize some known results.

Key words: Analytic functions, Symmetric conjugate points, Subordination, Reciprocal starlike, Meromorphic, Integral representation, Coefficient estimate

CLC Number: 

  • O174.51
Trendmd