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Yayın Notes on starlike log-harmonic functions of order α(2013) Aydoğan, Seher Melike; Duman, Emel Yavuz; Owa, ShigeyoshiFor 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).Mathematics Subject Classification: Primary 30C55, Secondary 30C45.Yayın Some properties concerning close-to-convexity of certain analytic functions(Springer International Publishing AG, 2012) Nunokawa, Mamoru; Aydoğan, Seher Melike; Kuroki, Kazuo; Yıldız, İsmet; Owa, ShigeyoshiLet f(z) be an analytic function in the open unit disk D normalized with f(0) = 0 and f'(0) = 1. With the help of subordinations, for convex functions f(z) in D, the order of close-to-convexity for f(z) is discussed with some example.Yayın Some results on a subclass of harmonic mappings of order alpha(Işık University Press, 2014) Varol, Dürdane; Aydoğan, Seher Melike; Owa, ShigeyoshiLet S-H be the class of harmonic mappings defined by S-H - {f - h(z) + <(g(z))over bar> vertical bar h(z) - z + Sigma(infinity)(n=2)a(n)z(n) , g(z) - b(1)z + Sigma(infinity)(n=2) b(n)z(n), b(1) < 1} where h(z) and g(z) are analytic. Additionally f(z) is an element of S-H(alpha) double left right arrow vertical bar zh'(z) - <(zg'(z))over bar>/h(z) + <(g(z))over bar> - 1-(b(1)) over bar /1+(b(1)) over bar vertical bar < vertical bar 1 - <(b(1))over bar>/1 + (b(1)) over bar vertical bar - alpha, z is an element of u, 0 <= alpha < 1 - <(b(1))over bar>/1 + (b(1)) over bar In the present work, by considering the analyticity of the functions defined by R. M. Robinson [7], we discuss the applications to the harmonic mappings.