Some Basic Properties for Certain Classes of p-valent Analytic Functions Using Differential Operator

ZHANG Hai-Yan, TANG Huo, LI Shu-Hai, MA Li-Na

doi:10.13371/j.cnki.chin.q.j.m.2018.02.003

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 2: 132 - 139

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.003

Some Basic Properties for Certain Classes of p-valent Analytic Functions Using Differential Operator

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School of Mathematics and Statistics, Chifeng University

ZHANG Hai-yan(1981-), female, Changchun city, Jinlin Province , a lecturer of Chifeng College, engages in operator algebra and complex analysis; Tang Huo(1979-), male, Anqing city, Anhui Province, an associate professor of Chifeng College, engages in complex analysis; LI Shu-hai(1966-), male(mongolian), native of Chifeng, Inner Mongolia, a professor of Chifeng College, engages in geometric function theory and applications. MA Li-na(1982-), female(mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng College, engages in harmonic analysis and complex analysis.

Accepted date: 2015-12-04

Online published: 2020-10-08

Supported by

Supported by the Natural Science Foundation of the People’s Republic of China under Grant(11561001)； Supported by the Natural Science Foundation of Inner Mongolia of the People’s Republic of China under Grant(2014MS0101)；

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Abstract

In this paper, we introduce new subclasses of p-valent analytic functions defined by using differential operator in the open unit disc. We study coefficient inequality, distortion theorem, radius of close to-convexity, starlikeness and convexity, extreme points and integral operator for functions in these new subclasses.

Key words： p-valent functions; Di?erential operator; Coe±cient inequality; Distortion theorem; Radius

Cite this article

ZHANG Hai-Yan, TANG Huo, LI Shu-Hai, MA Li-Na . Some Basic Properties for Certain Classes of p-valent Analytic Functions Using Differential Operator[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(2) : 132 -139 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.003

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