科研之友
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摘要
We study the differential equation f" = N(f)f';(2) + M(f)f'; + L(f), where L,M,N are rational functions, and prove that if the differential equation has a transcendental meromorphic solution f with order p(f) > 2, then the differential equation must be one of nine forms; and, moreover, we construct examples showing the existence of these nine forms with a transcendental meromorphic solution.
- 出版日期2005
- 单位南京大学
