Bar-Lev–Bshouty–Enis conjecture for polynomial variance functions of natural exponential families
Bar-Lev–Bshouty–Enis conjecture. The pair (v,(0,∞))\left(v,\left(0,\infty\right)\right)(v,(0,∞)) is a variance function for all n∈Nn\in\mathbb{N}n∈N if and only if Re(u1)≤0\operatorname{Re}(u_1)\leq 0Re(u1)≤0. The…