Abstract
We introduce a new class H n of univalent polynomials and establish that for every polynomial in H n the Hele–Shaw problem has a polynomial solution w(z;t) for all values t>0. We also demonstrate that the members of H n are starlike.
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Kuznetsova, O.S. Polynomial Solutions to the Hele–Shaw Problem. Siberian Mathematical Journal 42, 907–915 (2001). https://doi.org/10.1023/A:1011963510477
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DOI: https://doi.org/10.1023/A:1011963510477