差分Riccati方程解的微分超越性及Tietze处理
Differential transcendence of solutions of difference Riccati equations and Tietze's treatment
摘要：
这是H. Tietze出版于1905年关于微分超越的解决方案的差异Riccati方程。本文澄清了Tietze处理的本质，使之成为纯代数的。作为应用，研究了$q$ -Airy方程.
英文摘要：
There is the paper by H. Tietze published in 1905 on differential transcendence of solutions of difference Riccati equations. In this paper, we clarify the essence of Tietze's treatment and make it purely algebraic. As an application, the $q$-Airy equation is studied.
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。
