Browsing by Author "Aydoğan, Seher Melike"
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An investigation of the certain class of multivalent harmonic mappings
Polatoğlu, Yaşar; Özkan Uçar, Hatice Esra; Aydoğan, Seher Melike (2016)The main purpose of the present paper is to investigate some properties of the certain class of sense-preserving p-valent harmonic mappings in the open unit disc D = {z is an element of C parallel to z vertical bar < 1}. -
Close-to-convex functions defined by fractional operator
Aydoğan, Seher Melike; Kahramaner, Yasemin; Polatoğlu, Yaşar (2013)Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ C||z| < 1}. Consider the subclass and S∗ of S, which are the classes of convex and starlike functions, ... -
Harmonic mappinggs for which co-analytic part is a close-to-convex function of order b
Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike (2015)In 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). -
Harmonic mappings for which co-analytic part is a close-to-convex function of order b
Yaşar Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2015-01-16)In 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, ... -
Harmonic mappings related to Janowski convex functions of complex order b
Aydoğan, Seher Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (2013-01)Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ||z| < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ... -
Notes on Starlike log-Harmonic Functions of Order alpha
Aydoğan, Seher Melike; Yavuz Duman, Emel; Owa, Shigeyoshi (2013)For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H∗ LH(α) and G∗ LH (α) of S∗ LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object ... -
Some properties of q- convex functions of complex order
Polatoğlu, Yaşar; Aydoğan, Seher Melike; Mert, Oya (2016) -
Some Properties of q-Convex Functions of Complex Order
Polatoğlu, Yaşar; Aydoğan, Seher Melike; Mert, Oya (2017)Let A be the family of functions f(z) which are regular in the open unit disc D = {z : |z| < 1} and satisfy the conditions f(0) = 0, f 0 (0) = 1 for every z ∈ D and let f(z) be an element of A, if f(z) satisfies the ... -
Some properties of starlike harmonic mappings
Aydoğan, Seher Melike; Yemişçi, Halime Arzu; Polatoğlu, Yaşar (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012)A fundamental result of this paper shows that the transformation F=az(h(z+a/1+(a) over barz) + /(h(a) + <(g(a))over bar>(z + a) (1 + (a) over barz) defines a function in S0 HS* whenever f = h( z) + g( z) is S0 HS*, ... -
Taxicab geometri
Aydoğan, Seher Melike (İstanbul Kültür Üniversitesi / Fen Bilimleri Enstitüsü / Matematik Bilgisayar Anabilim Dalı, 2006-06)