Fibonacci and Lucas polynomials
1981 ◽
Vol 90
(3)
◽
pp. 385-387
◽
Keyword(s):
The Fibonacci and Lucas polynomials Fn(z) and Ln(z) are denned. These reduce to the familiar Fibonacci and Lucas numbers when z = 1. The polynomials are shown to satisfy a second order linear difference equation. Generating functions are derived, and also various simple identities, and relations with hypergeometric functions, Gegenbauer and Chebyshev polynomials.
2007 ◽
Vol 53
(7)
◽
pp. 1129-1139
◽
2009 ◽
Vol 215
(8)
◽
pp. 2855-2857
◽
Keyword(s):