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Some Relationships among Vieta, Morgan-Voyce and Jacobsthal Polynomials

  • Chapter
Applications of Fibonacci Numbers

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.

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Authors
  1. A. G. Shannon
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  2. A. F. Horadam
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Wake Forest University, Winston-Salem, North Carolina, USA

    Fredric T. Howard

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© 1999 Springer Science+Business Media Dordrecht

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Shannon, A.G., Horadam, A.F. (1999). Some Relationships among Vieta, Morgan-Voyce and Jacobsthal Polynomials. In: Howard, F.T. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4271-7_29

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  • DOI: https://doi.org/10.1007/978-94-011-4271-7_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5851-3

  • Online ISBN: 978-94-011-4271-7

  • eBook Packages: Springer Book Archive

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