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Erişim Hakkı: info:eu-repo/semantics/openAccess × Konu: Distortion theorem ×

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Listeleniyor 1 - 6 / 6
  • Küçük Resim
    Yayın
    Harmonic function for which the second dilatation is ?-spiral
    (Springer International Publishing AG, 2012) Aydoğan, Seher Melike; Duman, Emel Yavuz; Polatoğlu, Yaşar; Kahramaner, Yasemin
    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.
  • Küçük Resim
    Yayın
    Harmonic mappings related to Janowski convex functions of complex order b
    (2013) Aydoğan, Seher Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin
    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 generalized of R. J. Libera Theorem [7].
  • Küçük Resim
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    Harmonic mappings related to starlike function of complex order ?
    (Işık University Press, 2014) Aydoğan, Seher Melike
    Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z) | h(z) = z + ?? n=2 anz?, g(z) = ?? n=1 bnz?} The purpose of this talk is to present some results about harmonic mappings which was introduced by R. M. Robinson [8].
  • Küçük Resim
    Yayın
    Harmonic mappings for which co-analytic part is a close-to-convex function of order b
    (Springer International Publishing, 2015-01-16) Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike
    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, 2003).
  • Küçük Resim
    Yayın
    Some results on a subclass of harmonic mappings of order alpha
    (Işık University Press, 2014) Varol, Dürdane; Aydoğan, Seher Melike; Owa, Shigeyoshi
    Let S-H be the class of harmonic mappings defined by S-H - {f - h(z) + <(g(z))over bar> vertical bar h(z) - z + Sigma(infinity)(n=2)a(n)z(n) , g(z) - b(1)z + Sigma(infinity)(n=2) b(n)z(n), b(1) < 1} where h(z) and g(z) are analytic. Additionally f(z) is an element of S-H(alpha) double left right arrow vertical bar zh'(z) - <(zg'(z))over bar>/h(z) + <(g(z))over bar> - 1-(b(1)) over bar /1+(b(1)) over bar vertical bar < vertical bar 1 - <(b(1))over bar>/1 + (b(1)) over bar vertical bar - alpha, z is an element of u, 0 <= alpha < 1 - <(b(1))over bar>/1 + (b(1)) over bar In the present work, by considering the analyticity of the functions defined by R. M. Robinson [7], we discuss the applications to the harmonic mappings.
  • Küçük Resim
    Yayın
    Some properties of starlike harmonic mappings
    (Springer International Publishing AG, 2012) Aydoğan, Seher Melike; Yemişçi, Arzu; Polatoğlu, Yaşar
    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