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rational maps whose julia sets are quasi circles
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نویسنده
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al-salami hassanein q. ,al-shara iftichar
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منبع
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international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 2 - صفحه:2041 -2048
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چکیده
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In this paper, we give a family of rational maps whose julia sets are quasicircles also we the boundaries of $i_0 , i_infty$ are quasicircles , we have the family of complex rational maps are given bybegin{equation}label{e1}mathcal{q}_alpha(z)=2alpha^{1-n} z^n -frac{z^n left(z^{2n}-alpha^{n+1}right)}{z^{2n}-alpha^{3n-1}}, end{equation}where $ngeq 2$ and $alpha in cbackslash {0},$ but $alpha^{2n-2}neq 1,;;alpha^{1-n}neq 1.$
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کلیدواژه
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julia sets ,fatou sets ,singular perturbation ,quasi circles
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آدرس
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university of babylon, college of sciences, department of biology, iraq, university of babylon, college of education of pure sciences, department of mathematics, iraq
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پست الکترونیکی
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pure.iftichar.talb@uobabylon.edu.iq
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Authors
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