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Lobachevskii Journal of Mathematics, 2006, Volume 22, Pages 19–26 (Mi ljm41)  

This article is cited in 1 scientific paper (total in 1 paper)

On harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator

M. Darus, Kh. al-Shaqsi

Universiti Kebangsaan Malaysia
Full-text PDF (112 kB) Citations (1)
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Abstract: Let $\mathcal{S_H}$ denote the class of functions $f=h+\overline g$ which are harmonic univalent and sense preserving in the unit disk $\mathbf U$. Al-Shaqsi and Darus [7] introduced a generalized Ruscheweyh derivatives operator denoted by $D^n_\lambda$ where $D^n_\lambda f(z)=z+\sum\limits_{k=2}^\infty[1+\lambda(k-1)]C(n,k)a_kz^k$, where $C(n,k)={{k + n-1}\choose n}$. The authors, using this operators, introduce the class $\mathcal H^n_\lambda$ of functions which are harmonic in $\mathbf U$. Coefficient bounds, distortion bounds and extreme points are obtained.
Keywords: univalent functions, Harmonic functions, derivative operator.
Submitted by: M. A. Malakhaltsev
Received: 30.03.2006
Bibliographic databases:
Language: English
Citation: M. Darus, Kh. al-Shaqsi, “On harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator”, Lobachevskii J. Math., 22 (2006), 19–26
Citation in format AMSBIB
\Bibitem{DarAl-06}
\by M.~Darus, Kh.~al-Shaqsi
\paper On harmonic univalent functions defined by a~generalized Ruscheweyh derivatives operator
\jour Lobachevskii J. Math.
\yr 2006
\vol 22
\pages 19--26
\mathnet{http://mi.mathnet.ru/ljm41}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2289590}
\zmath{https://zbmath.org/?q=an:1114.30012}
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  • https://www.mathnet.ru/eng/ljm/v22/p19
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Lobachevskii Journal of Mathematics
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    References:58
     
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