Johann Cigler's user avatar
Johann Cigler's user avatar
Johann Cigler's user avatar
Johann Cigler
  • Member for 12 years, 7 months
  • Last seen more than a month ago
38 votes
1 answer
2k views

Curious $q$-analogues

27 votes
2 answers
1k views

Some binomial coefficient determinants

22 votes
2 answers
711 views

A q-rious identity

20 votes
4 answers
3k views

Are the q-Catalan numbers q-holonomic?

13 votes
1 answer
766 views

Recurrent sequences and Bernoulli-like numbers

13 votes
0 answers
338 views

Some $q-$analogues of $ \sum\limits_{j = - k}^k {{{( - 1)}^{ j}}}\binom{n}{k-j}\binom{n}{k+j}=\binom{n}{k}.$

13 votes
2 answers
1k views

Is there a $q$-L'Hospital's Rule?

12 votes
0 answers
305 views

Ratio of entries of A and log A where A is a triangular matrix

12 votes
1 answer
1k views

Lucky chance or combinatorial cause?

12 votes
1 answer
464 views

A matrix identity related to Catalan numbers

12 votes
1 answer
228 views

Total positivity of $q$-Pascal matrix?

11 votes
0 answers
393 views

Relation between a continued fraction and partitions

10 votes
1 answer
552 views

Quest for a human proof of a $q-$binomial identity

10 votes
4 answers
516 views

Hankel determinants of harmonic numbers

10 votes
1 answer
422 views

Number of bounded Dyck paths with "negative length"

9 votes
0 answers
197 views

Some quotients of Hankel determinants

9 votes
0 answers
451 views

An identity for Hankel determinants

7 votes
0 answers
1k views

Inverse of a matrix with binomial coefficients

7 votes
0 answers
297 views

Determinants associated to orthogonal polynomials

7 votes
1 answer
137 views

A formula for the generating function of Hoggatt binomials or of some Young tableaux

6 votes
0 answers
204 views

A recursion which defines polynomials with integer coefficients?

6 votes
0 answers
185 views

A curious $q$-identity

6 votes
0 answers
113 views

Recursions which define polynomials?

5 votes
1 answer
157 views

Reference request for simple $q-$ identities

5 votes
2 answers
231 views

A follow up question to: Number of walks on integer lattice with self-edge at zero

5 votes
0 answers
471 views

A class of determinants associated to Catalan-like Hankel determinants

5 votes
2 answers
575 views

Some curious Hankel determinants

5 votes
1 answer
473 views

An identity related to Hankel determinants of $\sum_{k=1}^n \frac{2^k}{k}$

5 votes
1 answer
169 views

$p$-adic valuation of $P_n(p)$ if $P_n$ is the $n$th Legendre polynomial

5 votes
1 answer
199 views

Matrix-valued periodic Fibonacci polynomials