Person: POLATOĞLU, YAŞAR
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Dr. Öğr. Üyesi
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POLATOĞLU
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YAŞAR
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Publication Metadata only On lambda-fractional convex functions(2007) Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202Publication 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 Metadata only New subclasses of certain analytic functions(2010) Owa, Shigeyoshi; Yavuz Duman, Emel; Aydoğan, S. M.; POLATOĞLU, YAŞAR; 199370; 111202For certain analytic functions fiz) in the open unit disk U, two subclasses 7ia,S;g) and Q(a,(5;g) associated with some analytic function g{z). Some interesting sufficient conditions for fiz) to be in ^(Q,^;^ ) and Qia,6;g) and some necessary conditions for f{z) belonging to •?{a,S;g) and Q{a,S;g) are considered.Publication Metadata only A Remark on multivalently convex and starlike functions(2007-01) Nunokawa, Mamoru; Owa, Shigeyoshi; Yavuz Duman, Emel; POLATOĞLU, YAŞAR; 199370; 111202Applying the result for certain analytic functions due to M. Nunokawa [Proc. Japan Acad. 68A, 152–153 (1992; Zbl 0773.30020)], some properties for multivalently convex and starlike functions ar discussed.Publication Open Access A note on certain analytic functions(International Short Joint Research Workshop, Study on Calculus Operators in Univalent Function Theory, 2007, Research Institute for Mathematical Sciences, Kyoto University (RIMS), Kyoto, Japan, 2007) Nunokawa, M.; Owa, Shigeyoshi; POLATOĞLU, YAŞAR; 199370Publication Metadata only Some Sufficient Conditions For Starlikeness And Convexity(Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvari No 221, Kavaklidere, Tr-06100 Ankara, Turkey, 2010) Nunokawa, Mamoru; Owa, Shigeyoshi; Çağlar, Mert; Yavuz Duman, Emel; POLATOĞLU, YAŞAR; TR199370; TR108339; TR111202There are many results for sufficient conditions of functions f (z) which are analytic in the open unit disc U to be starlike and convex in U. In view of the results due to S. Ozaki, I. Ono and T. Umezawa (1956), P.T. Mocanu (1988), and M. Nunokawa (1993), some sufficient conditions for starlikeness and convexity of f (z) are discussed.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 discussed