Galoitica: Journal of Mathematical Structures and Applications

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Galoitica: Journal of Mathematical Structures and Applications

Volume 9 , Issue 1 , PP: 23-30, 2023 | Cite this article as | XML | Html | PDF

Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions

Aqeel K. AL-khafaji 1 * , Heyam K. Alkhayyat 2 , M. Abdul-Jabbar Albayati 3

  • 1 Faculty of Education for Pure Sciences, Mathematics department, Babylon University, Iraq - (aqeel.ketab@uobabylon.edu.iq)
  • 2 Faculty of Computer Science and mathematics, Mathematics departmen, University of Kufa, Iraq - (hiyamk.hasan@uokufa.edu.iq)
  • 3 Faculty of Administration and Economics, Economics department, University of Misan, Iraq - (mudher68irri@yahoo.com)
  • Doi: https://doi.org/10.54216/GJMSA.090102

    Received: April 14, 2023 Revised: July 13, 2023 Accepted: October 25, 2023
    Abstract

    This paper introduces and investigate a new subclasses of the class  of analytic functions that both are -fold symmetric -univalent functions in the open unit disk  and get the estimates of the initial coefficients  for functions in each of these new subclasses. After this, the work will be discussing the Hankel determinant and a Fekete-Szegö functional.

    Keywords :

    Analytic function , univalent function , -univalent functions ,   , symmetric -univalent functions , Hankel determinant , Fekete-Szegö , functional.

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    Cite This Article As :
    Aqeel K. AL-khafaji , Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati. "Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions." Full Length Article, Vol. 9, No. 1, 2023 ,PP. 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
    Aqeel K. AL-khafaji , Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati. (2023). Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions. Journal of , 9 ( 1 ), 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
    Aqeel K. AL-khafaji , Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati. "Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions." Journal of , 9 no. 1 (2023): 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
    Aqeel K. AL-khafaji , Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati. (2023). Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions. Journal of , 9 ( 1 ), 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
    Aqeel K. AL-khafaji , Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati. Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions. Journal of , (2023); 9 ( 1 ): 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
    Aqeel K. AL-khafaji, Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati, Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions, Journal of , Vol. 9 , No. 1 , (2023) : 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)