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math.AC2025
Difference-differential fields of continuous functions
Seiji Nishioka
The set C of complex-valued continuous functions on [0,\infty) is a ring by the addition and the convolution. It has the quotient field Q(C), by which J. Mikusinski developed his o…
math.AC2017★ 3 cited
Differential transcendence of solutions of difference Riccati equations and Tietze's treatment
Seiji Nishioka
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 trea…