Title of article
A Matrix Approach for General Higher Order Linear Recurrences
Author/Authors
Kilic, Emrah TOBB Economics and Technology University - Mathematics Department, Turkey , Stanica, Pantelimon Naval Postgraduate School - Applied Mathematics Department, USA
From page
51
To page
67
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.
Keywords
Higher order recurrence , generating matrix , sum , matrix method
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2549973
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