## Proof of unsolvability of $q$-Bessel equation using valuations

JMS
Vol. 23 (2016), No. 4, Page 763–789.

Nishioka, Seiji
Proof of unsolvability of $q$-Bessel equation using valuations
In this paper, we prove unsolvability of the $q$-Bessel equation associated with one of the $q$-Bessel functions, $J_\nu^{(3)}$, using the notion of the difference field extension of valuation ring type.