Some generalized results related to Fibonacci sequence

Abstract: Cassini's identity states that for the n th Fibonacci number F n+1 F n-1 -F n 2 =(-1) n . We generalize Fibonacci sequence in terms of the number of sequences. Fibonacci sequence is the particular case of generating only one sequence. This generalization is used to generalize Ca...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Paul,Neeraj Kumar, Saikia,Helen K.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	Fibonacci sequence Cassini’s identity
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300605
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0716-09172021000300605
record_format	dspace
spelling	oai:scielo:S0716-091720210003006052021-06-07Some generalized results related to Fibonacci sequencePaul,Neeraj KumarSaikia,Helen K. Fibonacci sequence Cassini’s identity Abstract: Cassini's identity states that for the n th Fibonacci number F n+1 F n-1 -F n 2 =(-1) n . We generalize Fibonacci sequence in terms of the number of sequences. Fibonacci sequence is the particular case of generating only one sequence. This generalization is used to generalize Cassini’s identity. Moreover we prove few more results which can be seen as generalized form of the results which hold for Fibonacci sequence.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.3 20212021-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300605en10.22199/issn.0717-6279-4269
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fibonacci sequence Cassini’s identity
spellingShingle	Fibonacci sequence Cassini’s identity Paul,Neeraj Kumar Saikia,Helen K. Some generalized results related to Fibonacci sequence
description	Abstract: Cassini's identity states that for the n th Fibonacci number F n+1 F n-1 -F n 2 =(-1) n . We generalize Fibonacci sequence in terms of the number of sequences. Fibonacci sequence is the particular case of generating only one sequence. This generalization is used to generalize Cassini’s identity. Moreover we prove few more results which can be seen as generalized form of the results which hold for Fibonacci sequence.
author	Paul,Neeraj Kumar Saikia,Helen K.
author_facet	Paul,Neeraj Kumar Saikia,Helen K.
author_sort	Paul,Neeraj Kumar
title	Some generalized results related to Fibonacci sequence
title_short	Some generalized results related to Fibonacci sequence
title_full	Some generalized results related to Fibonacci sequence
title_fullStr	Some generalized results related to Fibonacci sequence
title_full_unstemmed	Some generalized results related to Fibonacci sequence
title_sort	some generalized results related to fibonacci sequence
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000300605
work_keys_str_mv	AT paulneerajkumar somegeneralizedresultsrelatedtofibonaccisequence AT saikiahelenk somegeneralizedresultsrelatedtofibonaccisequence
_version_	1718439902079614976

Some generalized results related to Fibonacci sequence

Ejemplares similares