2 problems

Let $\mathcal{F}_0(x,\mathbf{T})$ denote the genus-zero part of the generalized BGW free energy, with variables $x$ and $\mathbf{T}=(T_1,T_3,T_5,\ldots)$. Then Alexandrov's formula…

Let $\operatorname{DP}$ be the set of strict partitions. A hypergeometric BKP tau-function has the form … where $r_\lambda=\prod_{j=1}^{\ell(\lambda)}\prod_{m=1}^{\lambda_j}r(m)$ f…