Stable-scale comparison for the offspring generating function #
This file finishes the expansion below index two and in the infinite-variance Gaussian case.
theorem
BGW.StableTrees.Survival.tendsto_realGF_expansion
{μ : PMF ℕ}
{θ : ℝ}
{B : ℕ → ℝ}
(h : StableDomain μ θ B)
{lam : ℝ}
(hlam : 0 < lam)
:
n (g(1 - λ/B_n) - (1 - λ/B_n)) → λ^θ for every λ > 0.