Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Uniformly Close-to-Convex Functions with Respect to Conjugate Points

  • Bukhari, Syed Zakar Hussain (Department of Mathematics, Mirpur University of Science and Technology(MUST)) ;
  • Salahuddin, Taimoor (Department of Mathematics, Mirpur University of Science and Technology(MUST)) ;
  • Ahmad, Imtiaz (Department of Mathematics, Mirpur University of Science and Technology(MUST)) ;
  • Ishaq, Muhammad (Department of Mathematics, Mirpur University of Science and Technology(MUST)) ;
  • Muhammad, Shah (Department of Mathematics, College of Science, King Saud University)
  • Received : 2018.04.03
  • Accepted : 2018.12.19
  • Published : 2022.06.30
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Abstract

In this paper, we introduce a new subclass of k-uniformly close-to-convex functions with respect to conjugate points. We study characterization, coefficient estimates, distortion bounds, extreme points and radii problems for this class. We also discuss integral means inequality with the extremal functions. Our findings may be related with the previously known results.

Keywords

Acknowledgement

The Authors would like to thank Worthy Vice Chancellor MUST, Mirpur, AJK for his untiring efforts for the promotion of research conducive environment at MUST.

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