Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application-Reference-Cited by-同舟云学术

Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application

Published:2019-09-11 Issue:4 Volume:74 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Słowik Roksana^ORCID

Abstract

Abstract We propose the characterization of 3-dimensional Riordan arrays with use of three sequences that is analogous to the representation of 2-dimensional Riordan arrays with use of A and Z-sequence. We also suggest an application of this representation for finding totally positive matrices.

Funder

Silesian University of Technology

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1007/s00025-019-1093-9.pdf

Reference15 articles.

1. Shapiro, L.W., Getu, S., Woan, W.-J., Woodson, L.: The Riordan group. Discrete Appl. Math. 34, 229–239 (1991)

2. Solo, A.M.G.: Multidimensional matrix mathematics: notation, representation, and simplification, Part 1 of 6. In: Proceedings of the World Congress on Engineering 2010, vol. III (2010)

3. Solo, A.M.G.: Multidimensional matrix mathematics: multidimensional matrix equality, addition, substraction and multiplication, Part 2 of 6. In: Proceedings of the World Congress on Engineering 2010, vol. III (2010)

4. Solo, A.M.G.: Multidimensional matrix mathematics: algebraic laws, Part 5 of 6. In: Proceedings of the World Congress on Engineering 2010, vol. III (2010)

5. Cheon, G.-S., Jin, S.-T.: The group of multidimensional Riordan arrays. Linear Algebra Appl. 524, 263–277 (2017)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the halves of double and 3-dimensional Riordan arrays;Linear Algebra and its Applications;2023-12

2. The halves of a 3-dimensional Riordan array;Linear Algebra and its Applications;2023-11