Cahit Köme

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 27, 2021, Number 4, Pages 207—218

DOI: 10.7546/nntdm.2021.27.4.207-218

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## Details

### Authors and affiliations

Cahit Köme

*Department of Information Technology,
Nevşehir Hacı Bektaş Veli University
50300, Turkey*

### Abstract

In this study, we investigate the connection between second order recurrence matrix and several combinatorial matrices such as generalized *r*-eliminated Pascal matrix, Stirling matrix of the first and of the second kind matrices. We give factorizations and inverse factorizations of these matrices by virtue of the second order recurrence matrix. Moreover, we derive several combinatorial identities which are more general results of some earlier works.

### Keywords

- Pascal matrix
- Stirling matrix
- Second order recurrence matrix
- Factorization
- Combinatorial identities

### 2020 Mathematics Subject Classification

- 15A23
- 11B39
- 05A10

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## Cite this paper

Köme, C. (2021). Factorizations of some lower triangular matrices and related combinatorial identities. Notes on Number Theory and Discrete Mathematics, 27(4), 207-218, doi: 10.7546/nntdm.2021.27.4.207-218.