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math.CV2010★ 4 cited
Potential theory and a characterization of polynomials in complex dynamics
Yûsuke Okuyama, Małgorzata Stawiska
We obtain a measure theoretical characterization of polynomials among rational functions on , which generalizes a theorem of Lopes. Our proof applies both classical a…
math.CA2010
Liouville theorem with parameters: asymptotics of certain rational integrals in differential fields
Małgorzata Stawiska
We study asymptotics of integrals of certain rational functions that depend on parameters in a field of characteristic zero. We use formal power series to represent the integra…