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YAVUZ, EMEL

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Now showing 1 - 10 of 23
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    On lambda-fractional convex functions
    (2007) Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
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    Generalizations for Certain Bazilevic Functions
    (SEAMS - Southeast Asian Mathematical Society, 2021) YAVUZ, EMEL; DAYMAZ, TUĞBA; Owa, Shigeyoshi
    For 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.
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    The radius of starlikeness of the certain classes of p-valent functions defined by multiplier transformations
    (Springer International Publishing, 2008-12) Acu, Mugur; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
    The aim of this paper is to give the radius of starlikeness of the certain classes of Open image in new window-valent functions defined by multiplier transformations. The results are obtained by using techniques of Robertson (1953,1963) which was used by Bernardi (1970), Libera (1971), Livingstone (1966), and Goel (1972).
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    Multivalued starlike functions of complex order
    (2008) Çağlar, Mert; Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
    Let 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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    On some first-order differential subordination
    (2014-07) Nunokawa, M.; Sokół, J.; Cho, N.E.; Owa, S.; YAVUZ, EMEL; 111202
    Let 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.
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    Lambda-fractional properties of generalized Janowski functions in the unit disc
    (2008) Çağlar, Mert; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 108339; 108339; 111202
    For 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).
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    Two points-distortion theorems for multivalued starlike functions
    (2008) Owa, Shigeyoshi; Nakamura, Yayoi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
    Let 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.
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    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; 111202
    For 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.
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    A study on the generalization of Janowski functions in the unit disc
    (2006-01) Bolcal, Metin; Şen, A.; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
    Let › 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.
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    Marx-Strohhacker inequality for Mocanu-Janowski alpha-convex functions
    (2007) YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
    Let 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