Relations between Solutions of Differential Equations and Small Functions
oleh: Wei Liu, Zong-Xuan Chen
| Format: | Article |
|---|---|
| Diterbitkan: | Hindawi Limited 2012-01-01 |
Deskripsi
We investigate relations between solutions, their derivatives of differential equation f(k)+Ak−1f(k−1)+⋯+A1f’+A0f=0, and functions of small growth, where Aj (j=0,1,…,k−1) are entire functions of finite order. By these relations, we see that every transcendental solution and its derivative of above equation have infinitely many fixed points.