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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 Metadata only Some results on a subclass of p-valent starlike functions(International Symposium on New Development of Geometric Function Theory and Its Applications, GFTA 2008, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia, 2008) YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202Publication Metadata only lambda-fractional close-to-convex functions(International Symposium on Geometric Function Theory and Applications, 2007, Istanbul Kültür University, Istanbul, Turkey, 2007) YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202Publication 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 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 Metadata only An investigation on a subclass of p-valently starlike functions in the unit disc(TÜBİTAK, 2007) Bolcal, A.; Şen, A.; YAVUZ, EMEL; POLATOĞLU, YAŞAR; TR199370; TR111202Let A(p) denote the class of functions of the form f(z) = z(p) +a(p+1)z(p+1)+a(p+2)z(p+2) +... which are regular and p-valent in the open unit disc D = {z : vertical bar z vertical bar < 1}. Let M-p(alpha) be the subclass of A(p) consisting of functions f(z) which satisfy Re(zf'(x)/f(z)) < alpha, (z is an element of D) for some real alpha (alpha > 1). The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class M-p(alpha).Publication Metadata only Quasiconformal Harmonic Mappings Related To Starlike Functions(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2014-07) Yavuz Duman, Emel; Kahramaner, Yasemin; Aydoğan, Melike; POLATOĞLU, YAŞAR; 199370; 111202; 8366; 35549Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = vertical bar g'(z)/h'(z)vertical bar < k, (0 <= k < 1), then f is called k-quasiconformal harmonic mapping in D. The aim of this paper is to investigate a subclass of k-quasiconformal harmonic mappings.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.