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POLATOĞLU, YAŞAR

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Dr. Öğr. Üyesi

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POLATOĞLU

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YAŞAR

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Now showing 1 - 10 of 15
  • PublicationEmbargo
    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
  • PublicationEmbargo
    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).
  • PublicationEmbargo
    Growth and distortion theorems for multivalent Janowski close-to-convex harmonic functions with shear construction method
    (Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvarı No 221, Kavaklıdere, Tr-06100 Ankara, Turkey, 2013) Yavuz Duman, Emel; Ozkan, Hatice Esra; POLATOĞLU, YAŞAR; 199370; 111202
    In this paper we introduce the class of m-valent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class. Our study is based on the harmonic shear methods for harmonic functions.
  • PublicationEmbargo
    Harmonic mappings for which second dilatation is Janowski functions
    (2013) Yavuz Duman, Emel; Kahramaner, Yasemin; Darus, Maslina; POLATOĞLU, YAŞAR; 111202; 199370; 8366
    In 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.
  • PublicationEmbargo
    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; 8366
    Let 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-spiral
  • PublicationEmbargo
    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; 35549
    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).
  • PublicationEmbargo
    λ-fractional properties of generalized Janowski functions in the unit disc
    (2008) Çağlar, Mert; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 108339; 199370; 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).
  • PublicationEmbargo
    Some properties of starlike harmonic mappings
    (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012) Aydoğan, Seher Melike; Yemişçi, Halime Arzu; POLATOĞLU, YAŞAR; 35549; 112614; 199370
    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*, andwewill give an application of this fundamental result. MSC: Primary 30C45; Secondary 30C55
  • Publication
    lambda-fractional close-to-convex functions
    (International Symposium on Geometric Function Theory and Applications, 2007, Istanbul Kültür University, Istanbul, Turkey, 2007) YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
  • PublicationEmbargo
    Some properties of q- close-to-convex functions
    (2017) Özkan Uçar, Hatice Esra; Mert, Oya; POLATOĞLU, YAŞAR; 237380; 199370
    Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum calculus.