Entire functions polynomially bounded in several variables
Abstract
In this paper we show that if an entire function f(z1,z2) of two (or more) complex variables verifies f(z1,z2)≤ K(P(z1,z2)), where P(z1,z2) is a polynomial that is not a power in [[z1,z2]], and K is any positive-valued real function, then f(z1,z2) can be written as a holomorphic function of P.
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