10 citations · 15 across the 5 of their papers we have counts for
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Recurrence relations for powers of q-Fibonacci polynomials
Johann Cigler
We derive some q-analogs of Euler-Cassini-type identities and of recurrence formulas for powers of Fibonacci polynomials.
Some conjectures about q-Fibonacci polynomials
Johann Cigler
In this paper we state some conjectures about q-Fibonacci polynomials which for q=1 reduce to well-known results about Fibonacci numbers and Fibonacci polynomials.
q-Abel polynomials
Johann Cigler
This note gives a simple approach to q-analogues of some results associated with Abel polynomials.
Simple proofs of Bressoud's and Schur's polynomial versions of the Rogers-Ramanujan identities
Johann Cigler
We give simple elementary proofs of Bressoud's and Schur's polynomial versions of the Rogers-Ramanujan identities
q-Catalan numbers and q-Narayana polynomials
Johann Cigler
In this note we show that various natural q-analogues of the Catalan numbers can be obtained in a uniform way. Furthermore we compute their Hankel determinants.