Browsing by Author "Mert, Oya"

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    Salagean-Type Harmonic Multivalent Functions Defined by Q-Difference Operator
    (Univ Babes-Bolyai, 2022) Ahuja, Om P.; ÇETİNKAYA, ASENA; Mert, Oya
    We introduce a new subclass of Salagean-type harmonic multivalent functions by using q-difference operator. We investigate sufficient coefficient es-timates, distortion bounds, extreme points, convolution properties and neighbor-hood for the functions belonging to this function class.
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    Some properties of q- close-to-convex functions
    (Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey, 2017-12) Uçar, H. Esra Ozkan; Mert, Oya; 237380; 199370
    Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum calculus.
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    Some properties of q- close-to-convex functions
    (2017) Özkan Uçar, Hatice Esra; Mert, Oya; POLATOĞLU, YAŞAR; 237380; 199370
    Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum calculus.
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    Some properties of q- convex functions of complex order
    (2016) Aydoğan, Seher Melike; Mert, Oya; POLATOĞLU, YAŞAR; 199370; 35549; 237380
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    Some Properties of q-Convex Functions of Complex Order
    (2017) Aydoğan, Seher Melike; Mert, Oya; POLATOĞLU, YAŞAR; 199370; 35549; 237380
    Let A be the family of functions f(z) which are regular in the open unit disc D = {z : |z| < 1} and satisfy the conditions f(0) = 0, f 0 (0) = 1 for every z ∈ D and let f(z) be an element of A, if f(z) satisfies the condition 1 + 1 b qz Dq(Dqf(z)) Dqf(z) ≺ 1 + z 1 − qz where b is complex and b 6= 0, then f(z) is called q−convex function of complex order. The class of such functions is denoted by Cq(b). In the present paper we will examine the class of Cq(b).
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    Turán Type Inequalities For the (p,k)-Generalization of the Mittag-Leffler Function
    (Springer, 2024) ÇETİNKAYA, ASENA; Altınkaya, Şahsene; Mert, Oya
    The Turán type inequalities attract attention in a variety of research fields such as orthogonal polynomials and special functions. Using the newly established (p, k)-generalization of the Mittag-Leffler function, we derive new Turán type inequalities. These outcomes are the generalization of several findings in the literature. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.