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Partial Derivative Sequences of Second-Order Recurrence Polynomials

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Abstract

The derivative sequences of Fibonacci and Lucas polynomials studied in [1] can be seen from a more general point of view and the results established in that paper can be extended considerably by the introduction of two variables x,y in the recurrence relation. This extension allows us to consider partial differentiation of the resulting polynomials with respect to x and to y.

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References

  1. Filipponi, P. &, Horadam, A.F. “Derivative Sequences of Fibonacci and Lucas Polynomials”. Applications of Fibonacci Numbers. Volume 4. Edited by G.E. Bergum, A.N. Philippou and A.F. Horadam, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991, pp. 99–108.

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  2. Filipponi, P. & Horadam, A.F. “Second Derivative Sequences of Fibonacci and Lucas Polynomials”. The Fibonacci Quarterly, Vol. 13.3 (1993): pp. 194–204.

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  6. Horadam, A.F. “Basic Properties of a Certain Generalized Sequence of Numbers”. The Fibonacci Quarterly, Vol. 8.3 (1965): pp. 161–77.

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© 1996 Kluwer Academic Publishers

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Filipponi, P., Horadam, A.F. (1996). Partial Derivative Sequences of Second-Order Recurrence Polynomials. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0223-7_10

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  • DOI: https://doi.org/10.1007/978-94-009-0223-7_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6583-2

  • Online ISBN: 978-94-009-0223-7

  • eBook Packages: Springer Book Archive

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