由广义Dziok-Srivastava算子及其积分算子定义的亚纯多叶倒星象函数的某些新子类

doi:10.13371/j.cnki.chin.q.j.m.2015.04.006

数学季刊 ›› 2015, Vol. 30 ›› Issue (4): 532-544.doi: 10.13371/j.cnki.chin.q.j.m.2015.04.006

由广义Dziok-Srivastava算子及其积分算子定义的亚纯多叶倒星象函数的某些新子类

School of Mathematics and Statistics, Chifeng University

收稿日期:2013-10-15 出版日期:2015-12-30 发布日期:2020-11-19
作者简介: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.
基金资助:
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)；

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

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)；

摘要/Abstract

摘要： 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.

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

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

中图分类号:

O177

马丽娜 , 李书海. 由广义Dziok-Srivastava算子及其积分算子定义的亚纯多叶倒星象函数的某些新子类[J]. 数学季刊, 2015, 30(4): 532-544.

MA Li-na, LI Shu-hai. Some New Subclasses of Meromorphically Multivalent Uniformly Reciprocal Starlike Functions Defined by the Generalized Dziok-Srivastava Operator and Its Integral Operator [J]. Chinese Quarterly Journal of Mathematics, 2015, 30(4): 532-544.

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由广义Dziok-Srivastava算子及其积分算子定义的亚纯多叶倒星象函数的某些新子类

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

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