2 problems

Let $J{ u}^{(2)}(z;q)$ be the second Jackson $q$-Bessel function, and let ${z{m,nu}}{m=1}^{infty}$ denote its positive zeros. Ismail's conjecture concerns the asymptotic behavior o…

Let $J{ u+1}(x;q)/J u(x;q)$ be the ratio of Hahn–Exton $q$-Bessel functions, and write its power-series coefficients as rational functions of $q$. Delest–Fédou's conjecture. Wh…