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Publication Embargo Close-to-convex functions defined by fractional operator(2013) Aydoğan, Seher Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 35549; 8366; 199370Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ CPublication Metadata only Some properties of q- convex functions of complex order(2016) Aydoğan, Seher Melike; Mert, Oya; POLATOĞLU, YAŞAR; 199370; 35549; 237380Publication Open Access Taxicab geometri(İstanbul Kültür Üniversitesi / Fen Bilimleri Enstitüsü / Matematik Bilgisayar Anabilim Dalı, 2006-06) Aydoğan, Seher MelikePublication 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 Harmonic mappings for which co-analytic part is a close-to-convex function of order b(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2015-01-16) Kahramaner, Yasemin; Aydoğan, Seher Melike; POLATOĞLU, YAŞAR; 199370; 8366; 35549In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, 2003).Publication Embargo Some Properties of q-Convex Functions of Complex Order(2017) Aydoğan, Seher Melike; Mert, Oya; POLATOĞLU, YAŞAR; 199370; 35549; 237380Let 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).Publication Embargo Harmonic mappinggs for which co-analytic part is a close-to-convex function of order b(2015) Kahramaner, Yasemin; Aydoğan, Seher Melike; POLATOĞLU, YAŞAR; 199370; 8366; 35549In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b ∈ C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, 2003).Publication Embargo Some properties of starlike harmonic mappings(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012) Aydoğan, Seher Melike; Yemişçi, Halime Arzu; POLATOĞLU, YAŞAR; 35549; 112614; 199370A fundamental result of this paper shows that the transformation F=az(h(z+a/1+(a) over barz) + /(h(a) + <(g(a))over bar>(z + a) (1 + (a) over barz) defines a function in S0 HS* whenever f = h( z) + g( z) is S0 HS*, andwewill give an application of this fundamental result. MSC: Primary 30C45; Secondary 30C55Publication Metadata only An investigation of the certain class of multivalent harmonic mappings(2016) Özkan Uçar, Hatice Esra; Aydoğan, Seher Melike; POLATOĞLU, YAŞAR; 199370; 35549The main purpose of the present paper is to investigate some properties of the certain class of sense-preserving p-valent harmonic mappings in the open unit disc D = {z is an element of C parallel to z vertical bar < 1}.Publication Metadata only Harmonic mappings related to Janowski convex functions of complex order b(2013-01) Aydoğan, Seher Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 35549; 199370; 8366Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ