Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635401 | Applied Mathematics and Computation | 2007 | 14 Pages |
Abstract
The determinants and inverses of some tridiagonal and constant-diagonals matrices are discussed in the paper. Linear recurrence equations of the second and higher orders which satisfy these determinants are presented here. In connection with these determinants new families of polynomials are defined. The relationships between these polynomials and normed Chebyshev polynomials of the first and second kind are investigated. Incidentally, a number of new identities for Chebyshev polynomials and some linear modifications of these polynomials are shown, as well as many new trigonometric identities and identities for Fibonacci and Lucas numbers.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Roman WituÅa, Damian SÅota,