Cheon, Gi Sang and Jung, Ji Hwan and Barry, Paul (2018) Horizontal and vertical formulas for exponential Riordan matrices and their applications. Linear Algebra and Its Applications, 541. pp. 266-284. ISSN 0024-3795
Full text not available from this repository. (Request a copy)Abstract
In this paper, we show that an infinite lower triangular matrix A=[aij]i,j∈N0 is an exponential Riordan matrix A=E(g,f) given by ∑i≥jaijzi/i!=gfj/j! if and only if there exist both a horizontal pair {hn;h˜n}n≥0 and a vertical pair {vn;v˜n}n≥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.
Item Type: | Article |
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Additional Information: | Funding Information: This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (2016R1A5A1008055) and the Ministry of Education (NRF-2016R1A6A3A11930452). Funding Information: This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) ( 2016R1A5A1008055 ) and the Ministry of Education ( NRF-2016R1A6A3A11930452 ). Publisher Copyright: © 2017 |
Uncontrolled Keywords: | /dk/atira/pure/subjectarea/asjc/2600/2602 |
Departments or Groups: | |
Depositing User: | Admin SSL |
Date Deposited: | 19 Oct 2022 23:06 |
Last Modified: | 07 Jun 2023 18:43 |
URI: | http://repository-testing.wit.ie/id/eprint/4036 |
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