... and I .A Stegun, Eds., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Publications, New York, 1966 [2] E .A Bender, Central and Local Limit Theorems Applied ... ln n and m is a fixed integer at least 2 Here, H2q are the Hermite polynomials defined before Theorem and the S2q are defined in Theorem In particular, we have a complete asymptotic expansion for ... See Corollaries 2, for other asymptotic expansions In what follows, k, and n are integers with ≤ k ≤ n and ≤ ≤ n We denote the nonnegative integers by N All asymptotic formulas are for n → ∞...