Abstract
Encouraged by the comments of the reviewer [1] of my earlier article [4], I now take the opportunity to extend the material in [4] to incorporate some new thoughts on general recursively-defined polynomial sequences of the second order.
“If I have perchance omitted anything more or less proper or necessary, I beg indulgence, since there is no one who is blameless and utterly provident in all things.” (Fibonacci).
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References
Filipponi, P. (Review) Mathematical Reviews., 94f#11007.
Horadam, A.F. “VBasic Properties of a Certain Generalized Sequence of Numbers”. The Fibonacci Quarterly, Vol. 3.3 (1965): pp. 161–176.
Horadam, A.F. “Chebyshev and Fermat Polynomials for Diagonal Functions”. The Fibonacci Quarterly, Vol. 17.4 (1979): pp. 328–333.
Horadam, A.F. “Associated Sequences of General Order”. The Fibonacci Quarterly, Vol. 31.2 (1993): pp. 166–172.
Horadam, A.F. & Br. Mahon, J.M. “Pell and Pell-Lucas Polynomials”. The Fibonacci Quarterly, Vol. 23.1 (1985): pp. 7–20.
Lucas, E. Théorie des Nombres. Blanchard, Paris (1961).
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© 1996 Kluwer Academic Publishers
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Horadam, A.F. (1996). A Synthesis of Certain Polynomial Sequences. 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_18
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DOI: https://doi.org/10.1007/978-94-009-0223-7_18
Publisher Name: Springer, Dordrecht
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