A Convoluted Fibonacci Sequence - Part II

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Sofo, Anthony (2000) A Convoluted Fibonacci Sequence - Part II. RGMIA research report collection, 3 (3).

Abstract

We consider a generalisation of the classical Fibonacci sequence, and by the use of function theoretic methods, generate binomial type series which may be expressed in closed form. Some new identities are also given.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17318
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Fibonacci sequence, function theoretic methods, binomial type series, closed form, identities, arbitrary order difference scheme, Z transform theory, polynomial characteristic function, multiple zeros
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