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On the residue classes of integer sequences satisfying a linear three term recurrence formula

✍ Scribed by Carsten Elsner; Takao Komatsu

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 188 KB
Volume: 429
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.04.021

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✦ Synopsis

In this paper we investigate linear three-term recurrence formulae

with sequences of integers (T (n)) n 0 and (U (n)) n 0 , which are ultimately periodic modulo m, e.g.

(T (n) mod m) n 0 = (a 0 , a 1 , a 2 , .

📜 SIMILAR VOLUMES

On the Zeros of a Class of Polynomials D

On the Zeros of a Class of Polynomials Defined by a Three Term Recurrence Relation

✍ E.K. Ifantis; P.N. Panagopoulos 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 316 KB

Let \(P\_{N+1}(x)\) be the polynomial which is defined recursively by \(P\_{0}(x)=0\), \(P\_{1}(x)=1, \quad\) and \(\alpha\_{n} P\_{n+1}(x)+\alpha\_{n-1} P\_{n-1}(x)+b\_{n} P\_{n}(x)=x d\_{n} P\_{n}(x), \quad n=1, \quad 2, \ldots, N\), where \(\alpha\_{n}, b\_{n}, d\_{n}\) are real sequences with \(