2019/07/01 by Fernández, Jorge Mozo
#Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1907.00763
In this paper we show that if an entire function f(z1,z2) of two (or more) complex variables verifies \normf(z1,z2)≤ K(\normP(z1,z2)), where P(z1,z2) is a polynomial that is not a power in \CC[[z1,z2]], and K is any positive-valued real function, then f(z1,z2) can be written as a holomorphic function of P.