Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (4): 532-544.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.006

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Some New Subclasses of Meromorphically Multivalent Uniformly Reciprocal Starlike Functions Defined by the Generalized  Dziok-Srivastava Operator and Its Integral Operator

  

  1. School of Mathematics and Statistics, Chifeng University
  • Received:2013-10-15 Online:2015-12-30 Published:2020-11-19
  • About author:MA Li-na(1982-), female(Mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, engages in harmonic analysis and complex analysis; LI Shu-hai(1966-), male(Mongolian), native of Chifeng, Inner Mongolia, a professor of Chifeng University, engages in geometric function theory and applications.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11561001); Supported by the Natural Science Foundation of Inner Mongolia Province(2014MS0101); Supported by the Higher School Foundation of Inner Mongolia Province(2015NJZY240);

Abstract: In this paper, we introduce some new subclasses of meromorphically uniformly reciprocal starlike functions associated with the generalized Dziok-Srivastava operator and its corresponding integral operator defined by subordination. We obtain the inclusion relation,sufficient conditions and majorization property of the class. Moreover, we point out some new and interesting corollaries of our main result. These results generalize some known results. 

Key words: inclusion relation, sufficient condition, majorization property, the generalized , Dziok-Srivastava operator, integral operator, meromorphically multivalent functions, reciprocal starlike

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