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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.
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.