Abstract

This article provides a general technique for finding closed formulas for the determinants of families of matrices whose entries satisfy a three-term recurrence relation. The major purpose of this article is to generalize several published results about evaluating determinants. We also present new proofs for some known results due to Ch. Krattenthaler.

Keywords: Determinant; matrix factorization; recursive relation; generalized Pascal triangle.

MSC: 15B36, 15A15, 11C20

Pages:  211$-$222     

Volume  64 ,  Issue  3 ,  2012