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De Paepe's Disc has Nontrivial Polynomial Hull
Authors:O'Farrell  A G; Sanabria-Garcia  M A
Institution:Department of Mathematics, National University of Ireland Maynooth, Co. Kildare, Ireland; aof{at}maths.may.ie, manuel{at}maths.may.ie
Abstract:The topological disc (De Paepe's) Formula isshown here to have non-trivial polynomially convex hull. Infact, the authors show that this holds for all discs of theform Formula, where f is holomorphicon |z|≤r, and f(z=z2+a3z3+..., with all coefficients an real,and at least one a2n+1 != 0. 2000 Mathematics Subject Classification32E20.
Keywords:
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