Hypergeometric Summation: Fibonacci and Related Series

Anthony Sofo
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Anthony Sofo: Victoria University, School of Computer Science and Mathematics

Chapter Chapter 6 in Computational Techniques for the Summation of Series, 2003, pp 111-134 from Springer

Abstract: Abstract A first order difference-delay system is considered and by the use of Z transform theory generate an infinite sum which by the use of residue theory may be represented in closed form. Related works to this area of study are considered and some central binomial coefficient identities are also given. A development of Fibonacci and related polynomials is undertaken together with products and functional forms.

Keywords: Computational Technique; Fibonacci Sequence; Catalan Number; Relate Series; Related Polynomial (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0057-5_6

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DOI: 10.1007/978-1-4615-0057-5_6

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