Third-order differential sandwich-type results involving the Liu-Owa integral operator

Volume 18, Issue 1, pp 115--131 http://dx.doi.org/10.22436/jmcs.018.01.12

Publication Date: January 10, 2018 Submission Date: October 13, 2017

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Authors

Huo Tang - School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, People's Republic of China M. K. Aouf - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt Shigeyoshi Owa - Department of Mathematics, Faculty of Education, Yamato University, Japan Shu-Hai Li - School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, People's Republic of China

Abstract

Some third-order differential subordination and superordination results are derived for multivalent analytic functions in the open unit disk, which are defined by using the Liu-Owa integral operator. In addition, we obtain new third-order differential sandwich-type results for this operator.

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Keywords

• Differential subordination and superordination
• multivalent analytic functions
• admissible functions
• sandwich-type results
• Liu-Owa integral operator

MSC

•  30C45
•  30C80

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