Solutions of linear recurrence equations

Christopher S. Withers and Saralees Nadarajah

Applied Mathematics and Computation, 2015, vol. 271, issue C, 768-776

Abstract: Solutions are given to general homogeneous and non-homogeneous recurrence equations defined on the set of integers. Solutions to homogeneous recurrence equations are given as: (i) an infinite series of terms involving the partial ordinary Bell polynomial; (ii) an infinite series of terms involving the complete ordinary Bell polynomial; (iii) a weighted finite sum of terms involving powers. Solutions to non-homogeneous recurrence equations are given as: (i) a finite series of terms involving the complete ordinary Bell polynomial; (ii) a weighted infinite sum of terms involving powers. Computational issues of these solutions are also discussed.

Keywords: Bell polynomials; Homogeneous recurrence equations; Non-homogeneous recurrence equations (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:768-776

DOI: 10.1016/j.amc.2015.09.079

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