Learn More
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)
permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver About the summer undergraduate intern program: The research mission of(More)
  • 1