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Bounded polynomials and holomorphic mappings between convex subrings of $$^\ast\mathbb C$$. (English) Zbl 1401.30055
Summary: Using convex subrings of $$^\ast\mathbb{C}$$, a nonstandard extension of $$\mathbb{C}$$, we define several kinds of complex bounded polynomials and we provide their associated analytic functions obtained by taking the quasistandard part.

MSC:
 30G06 Non-Archimedean function theory 03H05 Nonstandard models in mathematics 26E35 Nonstandard analysis
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References:
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