Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898017 | Linear Algebra and its Applications | 2018 | 19 Pages |
Abstract
In this paper, we show that an infinite lower triangular matrix A=[aij]i,jâN0 is an exponential Riordan matrix A=E(g,f) given by âiâ¥jaijzi/i!=gfj/j! if and only if there exist both a horizontal pair {hn;hËn}nâ¥0 and a vertical pair {vn;vËn}nâ¥0 of sequences that represent all the elements in the matrix. As a consequence, we obtain that if the horizontal and vertical pairs of an exponential Riordan matrix are identical then the matrix is an involution. In addition, this concept can be applied to obtain the determinants of the production matrix and some conditions for the d-orthogonality of the Sheffer polynomial sequences.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gi-Sang Cheon, Ji-Hwan Jung, Paul Barry,