Inclusion relationships for certain subclasses of analytic functions involving linear operator

Volume 10, Issue 5, pp 2689--2699 http://dx.doi.org/10.22436/jnsa.010.05.35

Publication Date: May 25, 2017 Submission Date: March 06, 2017

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Authors

Yan Chen - School of Information and Mathematics, Yangtze University, Jingzhou, Hubei 434000, P. R. China. Xiaofei Li - School of Information and Mathematics, Yangtze University, Jingzhou, Hubei 434000, P. R. China. - Department of Mathematics, University of Macau, Taipa, Macao 999078, P. R. China. Chuan Qin - Yangtze University College of Engineering and Technology, Jingzhou 434020, Hubei, P. R. China.

Abstract

Based on a linear operator, some new subclasses of analytic and univalent functions are introduced. The object of the present paper is to derive inclusion relationships for these classes. Some applications of the inclusion results are also obtained.

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ISRP Style

Yan Chen, Xiaofei Li, Chuan Qin, Inclusion relationships for certain subclasses of analytic functions involving linear operator, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2689--2699

AMA Style

Chen Yan, Li Xiaofei, Qin Chuan, Inclusion relationships for certain subclasses of analytic functions involving linear operator. J. Nonlinear Sci. Appl. (2017); 10(5):2689--2699

Chicago/Turabian Style

Chen, Yan, Li, Xiaofei, Qin, Chuan. "Inclusion relationships for certain subclasses of analytic functions involving linear operator." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2689--2699

Keywords

Analytic functions
univalent functions
subordination
Hadamard product
linear operator.

MSC

30C45
30C50

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