An asymptotic formula for the generalized stirling numbers of the first kind
Abstract
An asymptotic formula for the generalized Stirling numbers of the first kind Sn,mα,γ is derived for integral values of m in the range h(n) ≤ m ≤ n - O(nδ) where δ is any fixed constant, 0 ≤ 6 ≤ 1, and h(n) is any function such that lim n→∞ h(n) = ∞.











