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    Analytic functions related with q-conic domain and associated with a convolution operator
    (Korean Society for Computational and Applied Mathematics, 2023) Frasin, Basem Aref; Amourah, Ala; Shah, Syed Ghoos Ali; Hussain, Saqib; Khan, Shahbaz; Sakar, Fethiye Müge
    In this paper, we defined some new classes of analytic functions in conic domains. We investigate some important properties such as necessary and sufficient conditions, coefficient estimates, convolution results, linear combination, weighted mean, arithmetic mean, radii of starlikeness and distortion for functions in these classes. It is important to mentioned that our results are generalization of number of existing results in the literature.
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    Classes of harmonic functions related to mittag-leffler function
    (Multidisciplinary Digital Publishing Institute (MDPI), 2023) Al-Dohiman, Abeer A.; Frasin, Basem Aref; Taşar, Naci; Sakar, Fethiye Müge
    The purpose of this paper is to find new inclusion relations of the harmonic class (Formula presented.) with the subclasses (Formula presented.) (Formula presented.) and (Formula presented.) of harmonic functions by applying the convolution operator (Formula presented.) associated with the Mittag-Leffler function. Further for (Formula presented.), several special cases of the main results are also obtained.
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    Connections between various subclasses of planar harmonic mappings involving Mittag-Leffler functions
    (Springer Heidelberg, 2024) Taşar, Naci; Sakar, Fethiye Müge; Frasin, Basem Aref
    In this existing paper, we examine a connection between certain class of harmonic univalent functions with starlike and convex harmonic functions define in the open unit disk by applying the convolution operator defined by Mittag-Leffler function. Several corollaries and consequences of the main results are also obtained.