11 citations · 125 across the 53 of their papers we have counts for
53 papers
Some experimental observations about Hankel determinants of convolution powers of Catalan numbers
Johann Cigler
Computer experiments suggest some conjectures about Hankel determinants of convolution powers of Catalan numbers. Unfortunately, for most of them I have no proofs. I would like to…
Shifted Hankel determinants of Catalan numbers and related results II: Backward shifts
Johann Cigler
By prepending zeros to a given sequence Hankel determinants of backward shifts of this sequence become meaningful. We obtain some results for the sequences of Catalan numbers and o…
Recurrences for certain sequences of binomial sums in terms of (generalized) Fibonacci and Lucas polynomials
Johann Cigler
We give a simplified presentation of some results about recurrences of certain sequences of binomial sums in terms of (generalized) Fibonacci and Lucas polynomials.
Some elementary aspects of q-Fibonacci and q-Lucas polynomials
Johann Cigler
Based on well-known properties of Fibonacci and Lucas numbers and polynomials we give a self-contained approach to some bivariate analogs.
Some observations about Hankel determinants of the columns of Pascal triangle and related topics
Johann Cigler
This note collects some facts and conjectures about the Hankel determinants and their generating functions of the columns of Hoggatt triangles which apparently are related to combi…
Hankel determinants of middle binomial coefficients and conjectures for some polynomial extensions and modifications
Johann Cigler
The middle binomial coefficients can be interpreted as numbers of Motzkin paths which have no horizontal steps at positive heights. Assigning suitable weights gives some nice polyn…