2 problems

Let $G'(p,q,\gamma,z)=\mathsf{F}(p,q,0,0,\gamma,0,0,z)\operatorname{diag}(((pq\gamma)^{n(n-1)/2})_{n\geq0})$, and let $G'_n(x;p,q,\gamma,z)=\sum_{k=0}^n g'_{n,k}(p,q,\gamma,z)x^k$.…

Let $\tilde{\mathsf{F}}(q,y,z)$ be the generalized forest matrix, and define $\bar{\mathsf{F}}(q,y,z)=\tilde{\mathsf{F}}(q,y,z)\operatorname{diag}((q^{k(k-1)/2})_{k\geq0})$. Let…