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1. Differential transcendence of solutions of difference Riccati equations and Tietze's treatment.

Author

Nishioka, Seiji

Subjects
*RICCATI equation, *TRANSCENDENCE (Philosophy), *DIFFERENTIAL equations, *MATHEMATICAL models, *MATHEMATICAL analysis
Abstract

Abstract 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. [ABSTRACT FROM AUTHOR]

Published
2018
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