Picard dimensions of close to rotationally invariant densities
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- by Toshimasa Tada PDF
- Proc. Amer. Math. Soc. 100 (1987), 467-473 Request permission
Abstract:
The purpose of this paper is to show that the Picard dimensions of a rotation-free density $P$ and a general density $Q$ on the punctured unit disk $0 < \left | z \right | < 1$ are equal to each other if $\left | {P\left ( z \right ) - Q\left ( z \right )} \right | = O\left ( {{{\left | z \right |}^{ - 2}}} \right )$ as $z \to 0$.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 467-473
- MSC: Primary 31A35; Secondary 30F20, 31C35
- DOI: https://doi.org/10.1090/S0002-9939-1987-0891147-8
- MathSciNet review: 891147