| dc.creator | Ray, Prasanta Kumar | |
| dc.date | 2020-02-04 | |
| dc.date.accessioned | 2020-02-05T12:59:01Z | |
| dc.date.available | 2020-02-05T12:59:01Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/3305 | |
| dc.identifier | 10.22199/issn.0717-6279-2020-01-0009 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/123592 | |
| dc.description | The goal is to study a new class of hyperbolic functions that unite the characteristics of the classical hyperbolic functions and the recurring balancing and Lucas-balancing numbers. These functions are indeed the extension of Binet formulas for both balancing and Lucas-balancing numbers in continuous domain. Some identities concerning hyperbolic balancing and Lucas-balancing functions are also established. Further, a new class of square matrices, a generalization of balancing QB-matrices for continuous domain, is considered. These matrices indeed enable us to develop a cryptography method for secrecy purpose. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/article/view/3305/3335 | |
| dc.rights | Copyright (c) 2020 Prasanta Kumar Ray | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol 39 No 1 (2020); 135-152 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 39 Núm. 1 (2020); 135-152 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Balancing numbers | en-US |
| dc.subject | Lucas-balancing numbers | en-US |
| dc.subject | Hyperbolic balancing functions | en-US |
| dc.subject | Hyperbolic Lucas-balancing functions | en-US |
| dc.subject | Cryptography | en-US |
| dc.subject | 11B37 | en-US |
| dc.subject | Recurrences | en-US |
| dc.subject | 11B39 | en-US |
| dc.subject | Fibonacci and Lucas numbers and polynomials and generalizations | en-US |
| dc.subject | 11Z05 | en-US |
| dc.subject | Miscellaneous applications of number theory | en-US |
| dc.title | A cryptography method based on hyperbolic balancing and Lucas-balancing functions | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
