کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9502782 1631576 2005 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Fibonacci sequence modulo π, chaos and some rational recursive equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The Fibonacci sequence modulo π, chaos and some rational recursive equations
چکیده انگلیسی
In this paper, we provide the closed form solution to the inter-related equations yn+2=ynyn+1−1yn+yn+1andzn+2=(zn+1+zn)modπ. Both of these equations were suggested as open problems in the book by Kocic and Ladas [V.L. Kocic, G. Ladas, Global Behavior of Nonlinear Difference Equations of High Order with Applications, Kluwer Academic, Dordrecht, 1993]. We also give the closed form solution to the equations xn+1=xnxn−2+axn+xn−2and xn+1=xn−1xn−2+axn−1+xn−2, studied by X. Li and D. Zhu [X. Li, D. Zhu, Two rational recursive sequences, Comput. Math. Appl. 47 (2004) 1487-1494].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 310, Issue 2, 15 October 2005, Pages 506-517
نویسندگان
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