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Title

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.

References :

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Cite this Article as :
Style #
MLA Aqeel K. AL-khafaji , Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati. "Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions." Galoitica: Journal of Mathematical Structures and Applications, Vol. 9, No. 1, 2023 ,PP. 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
APA 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 Galoitica: Journal of Mathematical Structures and Applications, 9 ( 1 ), 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
Chicago Aqeel K. AL-khafaji , Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati. "Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions." Journal of Galoitica: Journal of Mathematical Structures and Applications, 9 no. 1 (2023): 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
Harvard 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 Galoitica: Journal of Mathematical Structures and Applications, 9 ( 1 ), 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
Vancouver Aqeel K. AL-khafaji , Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati. Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 9 ( 1 ): 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)
IEEE Aqeel K. AL-khafaji, Heyam K. Alkhayyat, M. Abdul-Jabbar Albayati, Certain Determinants for New Subclasses of μ-Fold bi-Univalent Functions, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 9 , No. 1 , (2023) : 23-30 (Doi   :  https://doi.org/10.54216/GJMSA.090102)