Error bounds for asymptotic solutions of second-order linear difference equations

摘要

Error bounds for asymptotic solutions of second-order linear difference equation y(n + 2) + a(n)y(n + 1) + b(n)y(n) = 0, where a(n), b(n) have asymptotic expansions a(n)～∑ from s=0 to ∞ of ass, b(n)～∑ from s=0 to ∞ of bss, n→+∞, (b0 ≠ 0) are discussed in detail in this paper.