Partial sums of certain harmonic univalent functions

@article{Porwal2011PartialSO,
  title={Partial sums of certain harmonic univalent functions},
  author={S. Porwal},
  journal={Lobachevskii Journal of Mathematics},
  year={2011},
  volume={32},
  pages={366-375}
}
  • S. Porwal
  • Published 2011
  • Mathematics
  • Lobachevskii Journal of Mathematics
Let ϕ(z) be a fixed harmonic functions of the form $\varphi (z) = z + \sum\nolimits_{k = 2}^\infty {c_k z^k + } \overline {\sum\nolimits_{k = 1}^\infty {d_k z^k } } $ (dk ≥ ck ≥ c2 > 0; k ≥ 2) and SH(ck, dk, δ) be the subclass of harmonic univalent functions f(z) which satisfy the inequality $\sum\nolimits_{k = 2}^\infty {c_k |a_k | + } \sum\nolimits_{k = 1}^\infty {d_k |b_k | \leqslant \delta } $. In this paper, we establish some interesting results on the ratio of harmonic univalent functions… Expand

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