2005/08/01 by Alain Escassut, Eberhard Mayerhofer
Mathematics · #math.CV #msc:30D35 #msc:30D30 #msc:39B32
published as Complex Var. Theory Appl. 49 (2004), no. 14, 991--996 · 5 pages
arxiv created 2005/08/01 · arxiv updated 2009/12/01
Let h be a complex meromorphic function decomposed in two different ways P(f) and Q(g), where f, g are meromorphic functions and P, Q are rational functions. We follow an approach due to C.-C. Yang, P. Li and K. H. Ha who handle similar decompositions, however, with P, Q polynomials, by applying the Second Nevanlinna Theorem. We establish relations between the number k of distinct zeros of P', the degrees of P and Q, and (unless f, g are analytic functions) the number of distinct zeros of the denominators of P and Q.