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 Embargo Close-to-convex functions defined by fractional operator(2013) Aydoğan, Seher Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 35549; 8366; 199370Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ CPublication Metadata only Harmonic mappings related to the m-fold starlike functions(Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 2015-09-15) Aydoğan, Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 35549; 199370; 8366In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we restrict ourselves to the study of sense-preserving harmonic mappings. We also note that an elegant and complete treatment theory of the harmonic mapping is given in Durens monograph (Duren, 1983). The main aim of us to investigate some properties of the new class of us which represented as in the following form, S*H(m) = {f = h(z) + <(g(z))over bar>vertical bar f is an element of SH(m), g'(z)/h'(z) < b(1)p(z), h(z) is an element of S*(m), p(z) is an element of P-(m)}, where h(z) = z + Sigma(infinity)(n-1) a(mn+1)z(mn+1), g(z) = Sigma(infinity)(n-0) b(mn+1)z(mn+1), vertical bar b(1)vertical bar < 1. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.Publication Metadata only Janowski harmonic close-to-convex functions(2014-01) Turhan, N.; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 8366; 199370A harmonic mapping in the open unit disc D{double-struck} = {zPublication Embargo Harmonic mappings for which second dilatation is Janowski functions(2013) Yavuz Duman, Emel; Kahramaner, Yasemin; Darus, Maslina; POLATOĞLU, YAŞAR; 111202; 199370; 8366In the present paper we extend the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h maps D onto many-sheeted region which is starlike with respect to the origin, and Re g ′ (z) h′(z) > 0, then Re g(z) h(z) > 0, introduced by R.J. Libera [5] to the Janowski functions and give some applications of this to the harmonic functions.Publication Embargo Harmonic Function For Which The Second Dilatation is Alpha-Spiral(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012) Duman Yavuz, Emel; Aydoğan, Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 111202; 35549; 199370; 8366Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alpha-spiralPublication Open Access Harmonic mappings for which co-analytic part is a close-to-convex function of order b(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2015-01-16) Kahramaner, Yasemin; Aydoğan, Seher Melike; POLATOĞLU, YAŞAR; 199370; 8366; 35549In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, 2003).Publication Embargo Harmonic mappinggs for which co-analytic part is a close-to-convex function of order b(2015) Kahramaner, Yasemin; Aydoğan, Seher Melike; POLATOĞLU, YAŞAR; 199370; 8366; 35549In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b ∈ C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, 2003).Publication Metadata only On the class of harmonic mappings which is related to the class of bounded boundary rotation(Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 2015-09-15) Aydoğan, Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 199370; 35549; 8366The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class V-k. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.Publication Metadata only A certain class of harmonic mappings related to functions of bounded radius rotation(2018) Kahramaner, Yasemin; Yemişçi Şen, Arzu; POLATOĞLU, YAŞARLet R-k be the class of functions with bounded radius rotation and let S-H be the class of sense-preserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the function of bounded radius rotation.Publication Embargo On a subclass of harmonic mappings(2013) Yavuz Duman, Emel; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 111202; 8366; 199370In the present paper we extent the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h(z) maps D onto λ-spiral region and Ren e iλ g 0 (z) h0(z) o > 0, then Ren e iλ g(z) h(z) o > 0, and then give some applications of this to the harmonic functions.