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Title: A Matrix Approach for General Higher Order Linear Recurrences
Authors: Kılıç, Emrah
Stanica, Pantelimon
Keywords: Higher order recurrence
generating matrix
matrix method
Issue Date: 2011
Publisher: Springer
Abstract: We consider k sequences of generalized order-k linear recurrences with arbitrary initial conditions and coefficients, and we give their generalized Binet formulas and generating functions. We also obtain a new matrix method to derive explicit formulas for the sums of terms of the k sequences. Further, some relationships between determinants of certain Hessenberg matrices and the terms of these sequences are obtained.
ISSN: 0126-6705
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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