Fibonacci chain polynomials: Identities from self-similarity

机译：Fibonacci链多项式：来自自相似性的恒等式

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Fibonacci chains are special diatomic, harmonic chains with uniform nearest neighbor interaction and two kinds of atoms (mass-ratio r) arranged according to the self-similar binary Fibonacci sequence ABAABABA..., which is obtained by repeated substitution of A yields AB and B yields A. The implications of the self-similarity of this sequence for the associated orthogonal polynomial systems which govern these Fibonacci chains with fixed mass-ratio r are studied.

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Lang, Wolfdieter;
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年度 1995
页码 1-6
总页数 6
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
DIATOMIC MOLECULES; FIBONACCI NUMBERS; IDENTITIES; MATHEMATICAL MODELS; MOLECULAR CHAINS; POLYNOMIALS; SUBSTITUTES; ITERATION; MASS RATIOS; MATRICES (MATHEMATICS); RECURSIVE FUNCTIONS; STRING THEORY;

机译：双原子分子; FIBONaCCI数字;标识;数学模型;分子链;多项式;代用品;迭代;质量比; maTRICEs（maTHEmaTICs）;递归功能;弦理论;

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3. Critical points for finite Fibonacci chains of point delta-interactions and orthogonal polynomials [J] . De Prunelé E. Journal of physics, A. Mathematical and theoretical . 2011,第42期

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4. SELF-SIMILARITY OF HIERARCHICAL EXTENDED FIBONACCI CUBES [C] . Ali KARCI World Multiconference on Systemics, Cybernetics and Informatics(SCI 2001) v.17: Cybernetics and Informatics: Concepts and Applications pt.1; 20010722-20010725; Orlando,FL; US . 2001

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Fibonacci chain polynomials: Identities from self-similarity

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