Person: YAVUZ, EMEL
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YAVUZ
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EMEL
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Publication Restricted Generalizations for Certain Bazilevic Functions(SEAMS - Southeast Asian Mathematical Society, 2021) YAVUZ, EMEL; DAYMAZ, TUĞBA; Owa, ShigeyoshiFor analytic functions f(z) in the open unit disk U, an interesting class A(alpha, beta, gamma) is considered. The object of the present paper is to discuss some properties for f(z) in the class A(alpha, beta, gamma) and the class A(alpha, beta, infinity) for gamma -> infinity.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 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 On Janowski starlike functions(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2007) Çağlar, Mert; Şen, A.; Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 108339; 199370; 111202For 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 new fractional operator D-lambda f(z) is introduced. Further, a new subclass F-lambda(*)(A, B) consisting of f(z) associated with Janowski function is defined. The objective of the present paper is to discuss some interesting properties of the class F-lambda(*)(A, B). Copyright (c) 2007.Publication 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 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 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 New characterization of the class of starlike functions(The Korean Mathematical Society, 2008) Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 111202; 199370For analytic functions f(z) in the open unit disc D, an operator Nα(f(z)) relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator Nα(f(z)).