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

马丽娜 , 李书海

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

数学季刊 >

2015 , Vol. 30 >Issue 4: 532 - 544

DOI: https://doi.org/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

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School of Mathematics and Statistics, Chifeng University

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.

收稿日期: 2013-10-15

网络出版日期: 2020-11-19

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)；

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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

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School of Mathematics and Statistics, Chifeng University

Received date: 2013-10-15

Online published: 2020-11-19

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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

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

Abstract

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

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