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Falling Factorial Polynomials of Generalized Fibonacci Type

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Applications of Fibonacci Numbers

Abstract

In [4], the author extended the work of Asveld [2] for his Fibonacci-type sequence of polynomials G n by means of the polynomials H n (hereafter relabelled H n to avoid confusion with Asveldā€™s later symbolism which he used in [3]), and Pell numbers. The nature of the polynomials G n , and H n and H n is detailed in (2.4), (2.5), and (2.6) respectively.

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References

  1. Abramowitz, M. and Stegun, I. A. Handbook of Mathematical Functions. Dover (1965).

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  2. Asveld, P. R. J. ā€œA Family of Fibonacci-Like Sequences.ā€ The Fibonacci Quarterly 25, No. 1 (1987): pp. 81ā€“83.

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  4. Horadam, A. F. and Shannon, A. G. ā€œAsveldā€™s Polynomials pj(n).ā€ Applications of Fibonacci Numbers (ed. A. N. Philippou, A. F. Horadam, and G. E. Bergum ), Kluwer (1988): pp. 163ā€“176.

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Ā© 1990 Kluwer Academic Publishers

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Horadam, A.F. (1990). Falling Factorial Polynomials of Generalized Fibonacci Type. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1910-5_16

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  • DOI: https://doi.org/10.1007/978-94-009-1910-5_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7352-3

  • Online ISBN: 978-94-009-1910-5

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