Person: YAVUZ, EMEL
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YAVUZ
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EMEL
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Publication Metadata only Multivalued p-valent starlike functions(2007) Çağlar, M.; Şen, A.; Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370Publication Embargo Coefficient inequalities for classes of uniformly starlike and convex functions(2006-01) Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202In view of classes of uniformly starlike and convex functions in the open unit discUwhich was considered by S. Shams, S.R. Kulkarni and J.M. Jahangiri, some coefficient in-equalities for functions are discussedPublication 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 Multivalued starlike functions of complex order(2008) Çağlar, Mert; Owa, Shigeyoshi; Şen, Arzu; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 108339; 111202Let Aα be the class of functions f(z) = z α (z + a2z 2 + · · ·) which are analytic in the open unit disc U. For f(z) ∈ Aα using the fractional calculus, a subclass S ∗ α (1−b) which is the class of starlike functions of complex order (1−b) is introduced. The object of the present paper is to discuss some properties for f(z) belonging to the class S ∗ α (1 − b). 2000 Mathematics Subject Classification: 30C45Publication Embargo A study on the generalization of Janowski functions in the unit disc(2006-01) Bolcal, Metin; Şen, A.; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202Let › be the class of functions w(z), w(0) = 0, |w(z)| < 1 regular in the unit disc D = {z : |z| < 1}. For arbitrarily fixed numbers A 2 (¡1,1), B 2 (¡1,A), 0 • fi < 1 let P(A,B,fi) be the class of regular functions p(z) in D such that p(0) = 1, and which is p(z) 2 P(A,B,fi) if and only if p(z) = 1+((1¡fi)A+fiB)w(z) 1+Bw(z) for some function w(z) 2 › and every z 2 D. In the present paper we apply the principle of subordination ((1), (3), (4), (5)) to give new proofs for some classical results concerning the class S⁄(A,B,fi) of functions f(z) with f(0) = 0, f0(0) = 1, which are regular in D satisfying the condition: f(z) 2 S⁄(A,B,fi) if and only if z f 0 (z) f(z) = p(z) for some p(z) 2 P(A,B,fi) and for all z in D.Publication Embargo Two points-distortion theorems for multivalued starlike functions(2008) Owa, Shigeyoshi; Nakamura, Yayoi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202Let A be the class of analytic functions f(z) in the open unit disc U with f(0) = 0 and f (0) = 1. Applying the fractional calculus for f(z) ∈ A, the fractional operator Dλf(z) is defined. Further, a new subclass S∗ λ of A is considered using the fractional operator Dλf(z). The object of the present paper is to consider some properties of f(z) in the class S∗ λ.Publication Embargo Lambda-fractional properties of generalized Janowski functions in the unit disc(2008) Çağlar, Mert; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 108339; 108339; 111202For analytic function f(z) = z + a2z 2 + · · · in the open unit disc D, a new fractional operator Dλf(z) is defined. Applying this fractional operator Dλf(z) and the principle of subordination, we give new proofs for some classical results concerning the class S ∗ λ (A, B, α) of functions f(z).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 proofsPublication Embargo On some alpha-convex functions(2008-06) Owa, Shigeyoshi; Acu, Mugur; Al-Oboudi, Fatima; Darus, Maslina; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202In this paper, we define a general class of α-convex functions, denoted by MLβ,α(q), with respect to a convex domain D (q(z) ∈ Hu(U), q(0) = 1 , q(U) = D) contained in the right half plane by using the linear operator D β λ defined by D β λ : A → A , D β λ f(z) = z + X∞ j=2 (1 + (j − 1)λ) β ajz j , where β, λ ∈ R, β ≥ 0, λ ≥ 0 and f(z) = z+ X∞ j=2 ajz j . Regarding the class MLβ,α(q), we give a inclusion theorem and a transforming theorem, from which we may obtain many particular results.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 ∈ C
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