Closed-form solution of a general three-term recurrence relation
2014 (English)In: Advances in Difference Equations, ISSN 1687-1839, E-ISSN 1687-1847, no 1, 196-208 p.Article in journal (Refereed) Published
We present a closed-form solution for nth term of a general three-term recurrence relation with arbitrary given n-dependent coefficients. The derivation and corresponding proof are based on two approaches, which we develop and describe in detail. First, the recursive-sum theory, which gives the exact solution in a compact finite form using a recursive indexing. Second, the discrete dimensional-convolution procedure, which transforms the solution to the non-recursive expression of n, including a finite number of elementary operations and functions.
Place, publisher, year, edition, pages
Springer, 2014. no 1, 196-208 p.
IdentifiersURN: urn:nbn:se:umu:diva-94919DOI: 10.1186/1687-1847-2014-196ISI: 000342197300001OAI: oai:DiVA.org:umu-94919DiVA: diva2:760287