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

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

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

School of Mathematics and Statistics, Chifeng University

Accepted:2015-12-04 Online:2018-06-30 Published:2020-10-08
About author: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.
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)；

Abstract

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

CLC Number:

O177

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.

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

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