Entire solutions of certain partial differential equations and factorization of partial derivatives

Li, Bao

doi:10.1090/S0002-9947-04-03745-6

Entire solutions of certain partial differential equations and factorization of partial derivatives
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Trans. Amer. Math. Soc. 357 (2005), 3169-3177 Request permission

Abstract:

We show that the problem of characterizing entire solutions of certain partial differential equations and the problem of characterizing common right factors of partial derivatives of meromorphic functions in $\mathbf {C}^{2}$ are closely related, and characterizations will be given using their relations.

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