Entire solutions of certain partial differential equations and factorization of partial derivatives
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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.References
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Additional Information
- Bao Qin Li
- Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199
- MR Author ID: 249034
- Email: libaoqin@fiu.edu
- Received by editor(s): October 16, 2003
- Published electronically: October 28, 2004
- Additional Notes: The author was supported in part by National Science Foundation Grant DMS-0100486
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 357 (2005), 3169-3177
- MSC (2000): Primary 32A15, 32A22, 35F20
- DOI: https://doi.org/10.1090/S0002-9947-04-03745-6
- MathSciNet review: 2135740