On the constant coefficients of a certain recurrence relation: A simple proof
Milica Anđelić,
Carlos M. da Fonseca
Affiliations
Milica Anđelić
Department of Mathematics, Kuwait University, Safat 13060, Kuwait
Carlos M. da Fonseca
Kuwait College of Science and Technology, Doha District, Safat 13133, Kuwait; Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Basque Country, Spain; Corresponding author at: Kuwait College of Science and Technology, Doha District, Safat 13133, Kuwait.
In this note, we provide a short proof for the explicit formulas of the coefficients of a particular 3-term recurrence relation derived from a k-periodic recurrence. Any of the recurrences can be naturally interpreted in terms of determinants of Hessenberg matrices families.
