Some Relationships among Vieta, Morgan-Voyce and Jacobsthal Polynomials

A. G. Shannon and A. F. Horadam

A chapter in Applications of Fibonacci Numbers, 1999, pp 307-323 from Springer

Abstract: Abstract We define below the Morgan-Voyce polynomials B n(x) and b n(x) [21], and the ‘companion’ Morgan-Voyce polynomials C n(x) and c n(x) which were found in embryonic form in [26] and formalized, particularly in terms of notation, by Horadam [12, 16]. Horadam [11, 13] has also developed properties for the Jacobsthal polynomials, J n(x). It is the purpose of this paper to reveal some new inter-relationships among these polynomials and between them and the Fibonacci and Lucas numbers.

Keywords: 11B37; 11B39 (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-94-011-4271-7_29

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