Expression and dynamics of the solutions of some rational recursive sequences

Document Type : Regular Paper

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Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

In this paper we obtain the expression of the solutions of the following recursive sequences
􀝔
 
􀯡􀬾􀬵 􀵌
􀝔
 
􀯡􀬿􀬶􀝔􀯡􀬿􀬷􀝔􀯡􀬿􀬸
􀝔
 
􀯡􀝔􀯡􀬿􀬵􁈺􀵇1 􀵇 􀝔􀯡􀬿􀬶􀝔􀯡􀬿􀬷􀝔􀯡􀬿􀬸􁈻
, 􀝊 􀵌 0,1, . . .,
where the initial conditions are arbitrary real numbers. Also, we study the behavior of the solution of these
equations.

Keywords

Iranian Journal of Science
Volume 38, Issue 3.1 - Serial Number 3
September and October 2014
Pages 295-303

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