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Publication Embargo Multivalued starlike functions of complex order(2008) Çağlar, Mert; Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202Let S ∗ λ (1−b)(b 6= 0, complex) denote the class of functions f(z) = z+a2z 2+· · · analytic in the open unit disc D = {z ∈ CPublication Embargo Harmonic mappings for which second dilatation is Janowski functions(2013) Yavuz Duman, Emel; Kahramaner, Yasemin; Darus, Maslina; POLATOĞLU, YAŞAR; 111202; 199370; 8366In the present paper we extend the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h maps D onto many-sheeted region which is starlike with respect to the origin, and Re g ′ (z) h′(z) > 0, then Re g(z) h(z) > 0, introduced by R.J. Libera [5] to the Janowski functions and give some applications of this to the harmonic functions.Publication Embargo Harmonic Function For Which The Second Dilatation is Alpha-Spiral(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012) Duman Yavuz, Emel; Aydoğan, Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 111202; 35549; 199370; 8366Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alpha-spiralPublication Embargo Notes on Starlike log-Harmonic Functions of Order alpha(2013) Aydoğan, Seher Melike; Yavuz Duman, Emel; Owa, Shigeyoshi; 35549; 111202For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H∗ LH(α) and G∗ LH (α) of S∗ LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some coefficient inequalities for h(z) and g(z).Publication Open Access A Coefficient Inequality for Convex Functions(İstanbul Kültür Üniversitesi Yayınları, 2002-04) POLATOĞLU, YAŞARBiz bu makalede ' A characterization for convex functions of complex order (Ist. Üniv. Fen Fak. Matematik Dergisi cilt 54 sayfa 175-170, 1997) adlı makalenin çok önemli bir neticesi olan katsayı eşitsizliğini veririz.Publication Embargo Harmonic univalent functions with Janowski starlike analytic part(International Short Joint Research Workshop, Study on Non-Analytic and Univalent Functions and Applications, 2008, Research Institute for Mathematical Sciences, Kyoto University (RIMS), Kyoto, Japan, 2008) YAVUZ, EMEL; 111202Publication Embargo Some properties of q- close-to-convex functions(2017) Özkan Uçar, Hatice Esra; Mert, Oya; POLATOĞLU, YAŞAR; 237380; 199370Quantum 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.Publication Open Access Some Results of the Carathedory's Class(İstanbul Kültür Üniversitesi Yayınları, 2002-04) Bolcal, Metin; Şen, Arzu; POLATOĞLU, YAŞARBu çalışmada caratheodory sınıfı üzerine bazı sonuçları araştırırız. f(z)=1+p₁z+p₂z²+p₃z³+… fonksiyonu birim dairede analitik olsun ve f(0)=1,Re f(z)≥0, koşullarını gerçeklesin bu durumda f(z) fonksiyonu Caratheodory fonksiyonu olarak adlandırılır.