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    Bi-Univalency of m-Fold Symmetric Functions Associated with a Generalized Distribution
    (Mdpi, 2024) Olatunji, Sunday Oluwafemi; Sakar, Fethiye Muge; Breaz, Nicoleta; Aydogan, Seher Melike; Oluwayemi, Matthew Olanrewaju
    The m-fold symmetric in terms of a generalized distribution series has not been considered in the literature. In this study, however, the authors investigated the bi-univalency of m-fold symmetric functions for the generalized distribution of two subclasses of analytic functions. The initial few coefficient bounds |a(m )/ S| and |a(2)m/S| are obtained for the two subclasses of functions defined and the results serve as a new generalization in this direction.
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    Öğe
    Quasi subordinations for bi-univalent functions with symmetric conjugate points
    (Yildiz Technical Univ, 2024) Sakar, Fethiye Muge; Aydogan, Melike; Karahuseyin, Zeliha
    Many researchers have recently acquainted and researched several interesting subfamilies of bi-univalent function family delta and they have found non-sharp estimates on the first two Taylor-Maclaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar. In this current work, the subfamily F-delta,q(sc) (alpha, Xi) of bi-univalent functions in the sense of symmetric conjugate points with quasi subordination is defined. The Maclaurin coefficients vertical bar a(2)vertical bar, vertical bar a(3)vertical bar and besides related with these coefficients vertical bar a(3) - a(2)(2)vertical bar for functions belonging to this subfamily are derived. Further some corollaries are also presented.
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    Öğe
    Relations of Harmonic Starlike Function Subclasses with Mittag-Leffler Function
    (Mdpi, 2024) Tasar, Naci; Sakar, Fethiye Muge; Aydogan, Seher Melike; Oros, Georgia Irina
    In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag-Leffler function. The investigation reveals inclusion relations concerning harmonic gamma-uniformly starlike mappings in the open unit disc, harmonic starlike functions and harmonic convex functions, highlighting the improvements given by the results presented here on previously published outcomes.