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2017-07-27
Differential transcendence of solutions of difference Riccati equations and Tietze's treatment
Seiji Nishioka
文献摘要
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 -Airy equation is studied.
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