
doi: 10.37236/1712
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.
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
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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