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On analytic functions with generalized bounded Mocanu variation in conic domain with complex order

  • Shahid Mahmood EMAIL logo , Wasim Ul-Haq EMAIL logo and Muhammad Arif EMAIL logo
Published/Copyright: April 28, 2017
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Abstract

The aim of present article is to introduce and study new subclasses in conic regions. These classes unifies several known classes studied by various well-known authors. Many interesting properties including sufficiency criteria, arc length problem, distortion results are investigated for these newly defined subclasses.

MSC 2010: Primary 30C45; 30C50

(Communicated by Stanisława Kanas)


Acknowledgement

The authors would like to thank the referee of this article for his/her valuable comments on the earlier version which have greatly improved the entire presentation of the paper.

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Received: 2014-12-4
Accepted: 2015-4-9
Published Online: 2017-4-28
Published in Print: 2017-4-25

© 2017 Mathematical Institute Slovak Academy of Sciences

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