On second-order linear difference equations associated with hybrid sequences and generating functions
This article presents explicit formulas for the class of homogeneous linear recurrence of order 2 with constant coefficients associated with hybrid sequences, determined through generating functions. Furthermore, the applications of the resolution method in each case are all displayed and the relati...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | Brasil |
| Institución: | Universidade Federal de Santa Maria (UFSM) |
| Repositorio: | Revista Ciência e Natura (Online) |
| Idioma: | inglés |
| OAI Identifier: | oai:ojs.pkp.sfu.ca:article/84462 |
| Acceso en línea: | https://periodicos.ufsm.br/cienciaenatura/article/view/84462 |
| Access Level: | acceso abierto |
| Palabra clave: | Hybrid sequences Linear homogeneous recurrences Binet's formula Generating functions Sequências híbridas Recidivas homogêneas lineares Fórmula de Binet Funções geradoras |
| Sumario: | This article presents explicit formulas for the class of homogeneous linear recurrence of order 2 with constant coefficients associated with hybrid sequences, determined through generating functions. Furthermore, the applications of the resolution method in each case are all displayed and the relations between Binet's formulas and the expressions obtained via generating functions are discussed. Illustrative examples are given to clarify the approach. |
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