Geodesic
A Matrix Approach for General Higher Order Linear Recurrences
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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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.
Classification : 11B37, 40C05, 15A36, 15A15. 
@article{BMMS_2011_34_1_a4,
     author = {Emrah Kili\c{c} and Pantelimon Stanica},
     title = {A {Matrix} {Approach} for {General} {Higher} {Order} {Linear} {Recurrences}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2011},
     volume = {34},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a4/}
}
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AU  - Emrah Kiliç
AU  - Pantelimon Stanica
TI  - A Matrix Approach for General Higher Order Linear Recurrences
JO  - Bulletin of the Malaysian Mathematical Society
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VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a4/
ID  - BMMS_2011_34_1_a4
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%A Emrah Kiliç
%A Pantelimon Stanica
%T A Matrix Approach for General Higher Order Linear Recurrences
%J Bulletin of the Malaysian Mathematical Society
%D 2011
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a4/
%F BMMS_2011_34_1_a4
Emrah Kiliç; Pantelimon Stanica. A Matrix Approach for General Higher Order Linear Recurrences. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a4/