Asymptotic behavior of solutions of general three term recurrence relations

We consider the solutions of general three term recurrence relations whose coefficients are analytic functions in a prescribed region. We study the ratio asymptotic of such solutions under the assumption that the coefficients are asymptotically periodic and their strong asymptotic under more restrictive conditions.

• Type: Journal
• Year: 2007
• Where: ADCM
• Authors: D. Barrios Rolanía, Guillermo López Lagomasino
• Keywords: ADCM 2007, Analytic Functions, Prescribed Region, Term Recurrence Relations