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2008 ON THE RECURSIVE SEQUENCE $x_{n+1}=\frac{x_{n-(5k+9)}}{1+x_{n-4}x_{n-9}...x_{n-(5k+4)}}$
Da˘gistan Simsek, Cengiz Cinar, Ibrahim Yalcinkaya
Taiwanese J. Math. 12(5): 1087-1099 (2008). DOI: 10.11650/twjm/1500574249

Abstract

In this paper a solution of the following difference equation$\ $was investigated \begin{equation*} x_{n+1}=\frac{x_{n-(5k+9)}}{1+x_{n-4}x_{n-9}...x_{n-(5k+4)}},\ n=0,1,2,... \end{equation*} where $x_{-(5k+9)},x_{-(5k+8)},...,x_{-1},x_{0}\in (0,\infty ).$

Citation

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Da˘gistan Simsek. Cengiz Cinar. Ibrahim Yalcinkaya. "ON THE RECURSIVE SEQUENCE $x_{n+1}=\frac{x_{n-(5k+9)}}{1+x_{n-4}x_{n-9}...x_{n-(5k+4)}}$." Taiwanese J. Math. 12 (5) 1087 - 1099, 2008. https://doi.org/10.11650/twjm/1500574249

Information

Published: 2008
First available in Project Euclid: 20 July 2017

zbMATH: 1159.39004
MathSciNet: MR2431881
Digital Object Identifier: 10.11650/twjm/1500574249

Subjects:
Primary: 39A10

Keywords: difference equation , period 5k+10 solution

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 5 • 2008
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