Person: YAVUZ, EMEL
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YAVUZ
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EMEL
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Publication Metadata only On some first-order differential subordination(2014-07) Nunokawa, M.; Sokół, J.; Cho, N.E.; Owa, S.; YAVUZ, EMEL; 111202Let denote the class of functions f that are analytic in the unit disc and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that in . We determine conditions for α and β under which the function f is univalent, close-to-convex, and convex. To obtain this, we first estimate ∣Arg{f′(z)}∣ which improves the earlier results.Publication Metadata only Marx-Strohhacker inequality for Mocanu-Janowski alpha-convex functions(2007) YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202Let be the class of functions w(z) regular in the unit disc D = {z : |z| < 1} with w(0) = 0, and |w(z)| < 1. For arbitrarily fixed real numbers A 2 ( 1,1) and B 2 ( 1,A), let P(A, B) be the class of regular functions p(z) in D such that p(0) = 1, and p(z) 2 P(A, B) if and only if p(z) = 1+Aw(z) 1+Bw(z) for every z 2 D, for some w(z) 2 . In the present paper we apply the subordination principle to give new proofs