JAEM 2014, Vol 4, No 1

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  • Öğe
    Some results on a subclass of harmonic mappings of order alpha
    (Işık University Press, 2014) Varol, Dürdane; Aydoğan, Seher Melike; Owa, Shigeyoshi
    Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ?? n=2 anz?, g(z) = b1z + ?? n=2 bnz?, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ? SH(?) ? | zh? (z) ? zg?(z) h(z) + g(z) ? 1 ? b1 1 + b1| < | 1 ? b1 1 + b1| ? ?, z ? U, 0 ? ? < 1 ? b1 1 + b1 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.
  • Öğe
    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].