On the Expansion of Fibonacci and Lucas Polynomials
Helmut Prodinger
Department of Mathematics
University of Stellenbosch
7602 Stellenbosch
South Africa
Abstract:
Recently, Belbachir and Bencherif have expanded Fibonacci
and Lucas polynomials using bases of Fibonacci- and Lucas-like
polynomials. Here, we provide simplified proofs for the expansion
formulae that in essence a computer can do.
Furthermore, for 2 of the 5 instances, we find q-analogues.
Full version: pdf,
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(Concerned with sequences
A007318
A029653 and
A112468.)
Received October 6 2008;
revised version received December 15 2008.
Published in Journal of Integer Sequences, December 17 2008.
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