TY - JOUR
T1 - Asymptotic Expansions for Second-Order Linear Difference Equations, II
AU - Wong, R.
AU - Li, H.
PY - 1992/11/1
Y1 - 1992/11/1
N2 - Infinite asymptotic expansions are derived for the solutions to the second-order linear difference equation where p and q are integers, a(n) and b(n) have power series expansions of the form for large values of n, and a0 ≠ 0, b0 ≠ 0. Recurrence relations are also given for the coefficients in the asymptotic solutions. Our proof is based on the method of successive approximations. This paper is a continuation of an earlier one, in which only the special case p ≤ 0 and q = 0 is considered.
AB - Infinite asymptotic expansions are derived for the solutions to the second-order linear difference equation where p and q are integers, a(n) and b(n) have power series expansions of the form for large values of n, and a0 ≠ 0, b0 ≠ 0. Recurrence relations are also given for the coefficients in the asymptotic solutions. Our proof is based on the method of successive approximations. This paper is a continuation of an earlier one, in which only the special case p ≤ 0 and q = 0 is considered.
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U2 - 10.1002/sapm1992874289
DO - 10.1002/sapm1992874289
M3 - 21_Publication in refereed journal
VL - 87
SP - 289
EP - 324
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
SN - 0022-2526
IS - 4
ER -