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Two linearly independent asymptotic solutions are constructed for the second-order linear difference equation y n+1 (x) − (Anx + Bn)yn(x) + y n−1 (x) = 0, where An and Bn have power series expansions of the form An ∼ ∞ s=0 αs n s , B n ∼ ∞ s=0 βs n s with α 0 = 0. Our results hold uniformly for x in an infinite interval containing the transition point x +… (More)
Outline Background and previous work on Charlier polynomials: open question.
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