3 problems

Let $\kappa,\tau\in\mathbb{R}$, and consider the dP$_{\rm I}^{(2)}$ equation for a sequence $\{\beta_n(\kappa,\tau)\}_{n\geq 0}$, with initial values specified by the source. A sol…

Let $b_n(t)$ and $a_n(t)$ denote the positive solutions and associated quantities introduced in the paper, with $n$ a nonnegative integer. For fixed $t>0$, the expressions…

Linear recurrence conjecture. The iterates satisfy a constant-coefficient linear recurrence relation of order $4(N-1)(N-2)$. For odd $N$, it has the form