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The Order of Growth of Meromorphic Solutions for Some Difference Painleve Equations[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(1): 102-105.
Citation: The Order of Growth of Meromorphic Solutions for Some Difference Painleve Equations[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(1): 102-105.

The Order of Growth of Meromorphic Solutions for Some Difference Painleve Equations

  • By utilizing the difference analogue of Nevanlinna's value distribution theory of meromorphic functions, the order of growth of meromorphic solutions of certain difference Painlev\acutee equation I and difference Painlev\acutee equation II is investigated and some important results are obtained. The accurate estimate of the order of growth of meromorphic solutions to certain difference Painlev\acutee equation I and difference Painlev\acutee equation II is attained under the given conditions.
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