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Electronic Journal of Combinatorics
Article . 2003 . Peer-reviewed
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A New Class of q-Fibonacci Polynomials

A new class of \(q\)-Fibonacci polynomials
Authors: Cigler, Johann;

A New Class of q-Fibonacci Polynomials

Abstract

We introduce a new $q$-analogue of the Fibonacci polynomials and derive some of its properties. Extra attention is paid to a special case which has some interesting connections with Euler's pentagonal number theorem.

Country
Austria
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Keywords

1010 Mathematics, \(q\)-Fibonacci polynomial, 1010 Mathematik, recursion formula, Catalan number, generating function, \(q\)-calculus and related topics, noncommutative Fibonacci polynomial, Fibonacci and Lucas numbers and polynomials and generalizations, Morse code sequence, Combinatorial identities, bijective combinatorics

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Top 10%
Top 10%
Average
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