2 problems

Let $p,q,r e 0$ satisfy the local Calabi–Yau condition $1/p+1/q+1/r=0$, with $r=-pq/(p+q)$. Set $sj=-(2j-2)!(p^{2j-1}+q^{2j-1}+r^{2j-1})$, $alpha=p/sqrt{p+q}$, and…

The generating function of cubic Hodge integrals satisfying the local Calabi–Yau condition is the generating function under consideration for the hierarchy. Fractional Volterra hie…