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Certain subclasses of meromorphic multivalent q-starlike and q-convex functions

  • Shahid Khan EMAIL logo , Saqib Hussain and Maslina Darus
Published/Copyright: June 11, 2022
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Abstract

In this paper, we extend the idea of q-derivative (or q-difference) operator for meromorphic p-valent functions and introduce certain new subclasses of meromorphic multivalent q-starlike and q-convex functions. We investigate subordination properties, coefficient inequalities, convolution properties and integral representations. We also derive sufficient conditions for meromorphic multivalent q-starlike and q-convex functions and highlight some known consequence of our main results.

  1. (Communicated by Stanisława Kanas)

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Received: 2021-01-07
Accepted: 2021-05-11
Published Online: 2022-06-11
Published in Print: 2022-06-27

© 2022 Mathematical Institute Slovak Academy of Sciences

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