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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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


Author: Bao Qin Li
Journal: Trans. Amer. Math. Soc. 357 (2005), 3169-3177
MSC (2000): Primary 32A15, 32A22, 35F20
Published electronically: October 28, 2004
MathSciNet review: 2135740
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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.


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Additional Information

Bao Qin Li
Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199
Email: libaoqin@fiu.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-04-03745-6
PII: S 0002-9947(04)03745-6
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
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.