# 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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