Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503238 | Journal of Mathematical Analysis and Applications | 2005 | 8 Pages |
Abstract
We treat a Riccati differential equation wâ²+w2+p(z)=0, where p(z) is a nonconstant doubly periodic meromorphic function. Under certain assumptions, every solution is meromorphic in the whole complex plane. We show that the growth order of it is equal to 2, and examine the frequency of α-points and poles. Furthermore, the number of doubly periodic solutions is discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shun Shimomura,