| Issue |
RAIRO-Theor. Inf. Appl.
Volume 60, 2026
|
|
|---|---|---|
| Article Number | 10 | |
| Number of page(s) | 13 | |
| DOI | https://doi.org/10.1051/ita/2026011 | |
| Published online | 17 March 2026 | |
On some infinite matrices of binomial type and their generating functions
1
Bahattin Sevim Köksal Anatolian High School, Ministry of National Education, Tekkeköy, Samsun, Turkey
2
Ondokuz Mayıs University, Deparment of Mathematics, Samsun, Turkey
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
1
July
2024
Accepted:
16
February
2026
Abstract
In this study, we aim to detect the generating functions of some special infinite matrices created with the help of special number sequences, then to obtain a formula for the inputs of the infinite matrix. Moreover, we study to determine some known or unknown sequences in each row and column of the infinite matrix. Also, we specify a countable many of sequences with a single formula.
Mathematics Subject Classification: 40B05 / 05A15 / 11C20 / 11B83
Key words: Generating functions / infinite matrices / Fibonacci numbers / Lucas numbers / Pell numbers
© The authors. Published by EDP Sciences, 2026
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