Researcher:
POLATOĞLU, YAŞAR

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Dr. Öğr. Üyesi

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YAŞAR

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POLATOĞLU

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1997 - 199912000 - 2009432010 - 201946

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Researcher Of Publications: search.filters.isAuthorOfPublication.82125b62-3d7a-489a-8c3f-a104e98d346e

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Now showing 1 - 10 of 90
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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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    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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    Some Results on Dynamics of Newton Differential Equation
    (2005) Özer, Mehmet; Hacibekiroğlu, Gürsel; Valaristos, Antonis; Anagnostopoulos, Antonis N.; POLATOĞLU, YAŞAR; 2509; 199370; 116304
    In this paper the case where the Newton differential equation defined by the Newton-Raphson iteration method equals a constant (namely 2) is investigated. The dynamics of these functions are examined by showing that the solution function can only be a M�bius transformation in the form of . The result obtained after the iterations carried out for the parameters a = 0.1 and b = 0.01 is the so-called �Fibonacci sequences�.
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    On generalized Janowski starlike logharmonic
    (2011) Mohd, Maisarah Haji; Darus, Maslina; Yavuz Duman, Emel; POLATOĞLU, YAŞAR; 199370; 111202
    In this paper, we consider univalent logharmonic mappings of the form f(z) = zh(z)g(z) defined on the open unit disc with the normalization condition g(0) = 1 and h(0) 6= 0. We investigate the class of generalized Janowski starlike defined by subordination. Further we obtain the bound for the functional h(z)/g(z) for f in this class.
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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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    Quasiconformal Harmonic Mappings Related To Starlike Functions
    (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2014-07) Yavuz Duman, Emel; Kahramaner, Yasemin; Aydoğan, Melike; POLATOĞLU, YAŞAR; 199370; 111202; 8366; 35549
    Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = vertical bar g'(z)/h'(z)vertical bar < k, (0 <= k < 1), then f is called k-quasiconformal harmonic mapping in D. The aim of this paper is to investigate a subclass of k-quasiconformal harmonic mappings.
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    Multivalued starlike functions of complex order
    (2008) Çağlar, Mert; Owa, Shigeyoshi; Şen, Arzu; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 108339; 111202
    Let 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: 30C45
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    An investigation on a subclass of p-valently starlike functions in the unit disc
    (TÜBİTAK, 2007) Bolcal, A.; Şen, A.; YAVUZ, EMEL; POLATOĞLU, YAŞAR; TR199370; TR111202
    Let A(p) denote the class of functions of the form f(z) = z(p) +a(p+1)z(p+1)+a(p+2)z(p+2) +... which are regular and p-valent in the open unit disc D = {z : vertical bar z vertical bar < 1}. Let M-p(alpha) be the subclass of A(p) consisting of functions f(z) which satisfy Re(zf'(x)/f(z)) < alpha, (z is an element of D) for some real alpha (alpha > 1). The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class M-p(alpha).
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    Multivalued p-valent starlike functions
    (2007) Çağlar, M.; Şen, A.; Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370
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    An investigation of the certain class of multivalent harmonic mappings
    (2016) Özkan Uçar, Hatice Esra; Aydoğan, Seher Melike; POLATOĞLU, YAŞAR; 199370; 35549
    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}.