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Vietnam Journal of Mathematics 34:3(2006) 317-329

  On the Functional Equation P(f) = Q(g) in Complex Numbers Field

Nguyen Trong Hoa

Abstract.  In this paper, we study the existence of non-constant meromorphic solutions f and g of the functional equation P(f) = Q(g), where P(z) and Q(z) are given nonlinear polynomials with coefficients in the complex field C.

2000 Mathematics Subject Classification: 32H20, 30D35.

Keywords: Functional equation, unique rang set, meromorphic function, algebraic curves.

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