Some Properties on Complex Functional Difference Equations
Some Properties on Complex Functional Difference Equations
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DOI：
10.1155/2014/283895
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发表时间：
2014-04
影响因子：
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通讯作者：
Zhibo Huang;Ranran Zhang
中科院分区：
文献类型：
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作者：
Zhibo Huang;Ranran Zhang
得到了复泛函差分方程的超越亚纯解的一些结果，其中是多指标的有限集，是不同的复常数，是多项式，和是相对于的小亚纯函数.进一步研究了上述泛函差分方程的特殊类型，如果其解具有Borel例外零点和极点。
We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form , where is a finite set of multi-indexes , are distinct complex constants, is a polynomial, and , , and are small meromorphic functions relative to . We further investigate the above functional difference equation which has special type if its solution has Borel exceptional zero and pole.