二阶传递方程及任意阶的推广
Second Order Transfer Equations; and Generalizations to Arbitrary Orders
摘要：
给出了方程$ y(s+2) = \mathcal{T}^2 y = F(s,y,\mathcal{T} y) = F(s,y(s),y(s+1))$的一个解，其中$y$是全纯的，$F$是具有特定衰减条件的全纯函数.这个结果是使用无限组合物和限制过程提供的。将该方法推广到任意$k$阶传递方程：$u(s+k) = F(s,u(s),u(s+1),...,u(s+k-1))$ .该技术是通过利用解$w(s+1) = \mathcal{T} w = F(s,w)$和用所述$w$的序列顺序逼近$u$或$y$而得到的。
英文摘要：
The author provides a solution to the equation $ y(s+2) = \mathcal{T}^2 y = F(s,y,\mathcal{T} y) = F(s,y(s),y(s+1))$; where $y$ is holomorphic; and $F$ is a holomorphic function with specific decay conditions. This result is provided using infinite compositions, and a limiting process. The technique is generalized to arbitrary $k$'th order transfer equations: $u(s+k) = F(s,u(s),u(s+1),...,u(s+k-1))$. The technique is derived by utilizing solutions $w(s+1) = \mathcal{T} w = F(s,w)$ and sequentially approximating $u$, or $y$, with a sequence of said $w$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
