NDLI: Fibonacci and Lucas polynomials

Content Provider	Scilit
Author	Doman, B. G. S. Williams, J. K.
Copyright Year	1981
Description	The Fibonacci and Lucas polynomials $F_{n}$(z) and $L_{n}$(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.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/A0CDF3FD9748AC69A90036C36A5AFF55/S0305004100058850a.pdf/div-class-title-fibonacci-and-lucas-polynomials-div.pdf
Ending Page	387
Page Count	3
Starting Page	385
ISSN	03050041
e-ISSN	14698064
DOI	10.1017/s0305004100058850
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Issue Number	3
Volume Number	90
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1981-11-01
Access Restriction	Open
Subject Keyword	Mathematical Proceedings of the Cambridge Philosophical Society Applied Mathematics Lucas Polynomials
Content Type	Text
Resource Type	Article
Subject	Mathematics

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