Functional equations related to family [image omitted]
Titel:
Functional equations related to family [image omitted]
Auteur:
Meng, Yong Li, Ping
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 52 (2007) nr. 7 pagina's 589-602
Jaar:
2007-07
Inhoud:
By Nevanlinna's value distribution theory, we give a more precise form of the meromorphic function f provided that f m can be expressed as a summation of n + 1 (n!≤! m) functions in family [image omitted] The results in this article generalize some known results obtained by Green, M., 1974, On the functional equation [image omitted] a new Picard theorem. Transactions of the American Mathematical Society, 195, 223-230; Noda, Y., 1993, On the fuctional equation [image omitted] and rigidity theorems for holomorphic curves. Kodai Mathematical Journal, 16, 90-117.
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