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20052023
most citedq-Lucas polynomials and associated Rogers-Ramanujan type identities

11 citations · 125 across the 53 of their papers we have counts for

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Showing 2016Show all

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math.CO2016★ 2 cited

Some elementary observations on Narayana polynomials and related topics II: q-Narayana polynomials

Johann Cigler

We show that q-Catalan numbers, q- central binomial coefficients and q- Narayana polynomials are moments of q-analogues of Fibonacci and Lucas polynomials and related polynomials.

math.CO2016★ 2 cited

Some elementary observations on Narayana polynomials and related topics

Johann Cigler

We give an elementary account of generalized Fibonacci and Lucas polynomials whose moments are Narayana polynomials of type A and type B.

math.NT2016

Some divisibility properties of q-Fibonacci numbers

Johann Cigler

We give a survey of some known and some new results about factors of different sorts of Fibonacci numbers.

math.CA2016

Elementary observations on Rogers-Szegö polynomials

Johann Cigler

The Rogers-Szegö polynomials are natural q-analogues of Newton binomials. In general they have no closed expression. We consider some exceptional cases which are products of a fact…