Determining Upper Estimate for The Third Hankel Determinant of Bi Univalent Function Associated with A New Function.

Authors

  • Ali Jan Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan Email: alijan3169917@gmail.com
  • Saba Gul Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan,
  • Minal Khan Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan
  • Kalsoom Bibi Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan
  • Khurshid Ahmad Department of Mathematics, Govt Post Graduate College, Dargai Malakand, Pakistan Email: Khurshidahmad410@gmail.com
  • Mirajul Haq Department of Mathematics Abdul Wali Khan University Mardan, Pakistan Email: merajkhan0542@gmail.com

DOI:

https://doi.org/10.63163/jpehss.v3i3.585

Abstract

This research explores the characteristics of bi univalent functions related with a new function, with focus on establishing upper estimates for the hankel determinants H₃(1).Our analysis provides deeper understandings of the properties of these functions , advancing our understandings of bi univalent function theory and its connections to geometric function theory.

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Published

2025-08-04

How to Cite

Ali Jan, Saba Gul, Minal Khan, Kalsoom Bibi, Khurshid Ahmad, & Mirajul Haq. (2025). Determining Upper Estimate for The Third Hankel Determinant of Bi Univalent Function Associated with A New Function. Physical Education, Health and Social Sciences, 3(3), 39–46. https://doi.org/10.63163/jpehss.v3i3.585

Issue

Vol. 3 No. 3 (2025): Physical Education, Health and Social Sciences (July-September 2025)

Section

Numerical Science and Engineering