Partial Derivative Sequences of Second-Order Recurrence Polynomials

Piero Filipponi and Alwyn F. Horadam

A chapter in Applications of Fibonacci Numbers, 1996, pp 105-122 from Springer

Abstract: 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.

Keywords: Partial Derivative Sequence; Recurrence Relation; Repetition Period; Multiplicative Inverse; LUCAS Number (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-94-009-0223-7_10

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