Honam Mathematical Journal (호남수학학술지)

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A REFINEMENT OF THE THIRD HANKEL DETERMINANT FOR CLOSE-TO-CONVEX FUNCTIONS

  • Laxmipriya Parida (Basic Science and Humanities, School of Engineering and Technology, Gandhi Institute of Engineering and Technology University) ;
  • Teodor Bulboaca (Faculty of Mathematics and Computer Science, Babes-Bolyai University) ;
  • Ashok Kumar Sahoo (Department of Mathematics, Central University)
  • Received : 2024.03.22
  • Accepted : 2024.04.25
  • Published : 2024.09.24
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Abstract

In our paper, by using different inequalities regarding the coefficients of the normalized close-to-convex functions in the open unit disk, we found a smaller upper bound of the third Hankel determinant for the class of close-to-convex functions as compared with those obtained by Prajapat et. al. in 2015.

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References

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