Abstract
We prove that for a generic pair (P, Q) of polynomials P of degree n and Q of degree m, where m, n are satisfying some conditions, P(f)=Q(g) for meromorphic functions f,g implies f=const, g=const. We also give another proof of the statement saying that a generic polynomial of degree at least 5 is a uniqueness polynomial for meromorphic functions.
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© 2004 Kluwer Academic Publishers
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Ha, H.K., Yang, C.C. (2004). On the Functional Equation P(F)=Q(G). In: Barsegian, G., Laine, I., Yang, C.C. (eds) Value Distribution Theory and Related Topics. Advances in Complex Analysis and Its Applications, vol 3. Springer, Boston, MA. https://doi.org/10.1007/1-4020-7951-6_10
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DOI: https://doi.org/10.1007/1-4020-7951-6_10
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4020-7950-4
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