User Johann Cigler

40 votes

1 answer

2k views

Curious $q$-analogues

asked Jul 21, 2010 at 9:56

27 votes

2 answers

1k views

Some binomial coefficient determinants

asked Mar 24, 2018 at 11:38

22 votes

2 answers

742 views

A q-rious identity

asked Sep 17, 2019 at 14:24

21 votes

4 answers

3k views

Are the q-Catalan numbers q-holonomic?

asked May 4, 2010 at 14:48

13 votes

1 answer

787 views

Recurrent sequences and Bernoulli-like numbers

asked Dec 6, 2010 at 14:19

13 votes

0 answers

349 views

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

asked Apr 23, 2015 at 12:08

13 votes

2 answers

1k views

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

asked Aug 3, 2015 at 15:24

12 votes

0 answers

314 views

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

asked Nov 6, 2014 at 9:36

12 votes

1 answer

1k views

Lucky chance or combinatorial cause?

asked May 10, 2012 at 7:08

12 votes

1 answer

553 views

A matrix identity related to Catalan numbers

asked Aug 15, 2018 at 12:46

12 votes

1 answer

267 views

Total positivity of $q$-Pascal matrix?

asked May 30, 2017 at 8:59

11 votes

1 answer

587 views

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

asked Feb 23, 2015 at 16:41

11 votes

0 answers

406 views

Relation between a continued fraction and partitions

asked Feb 5, 2018 at 17:10

10 votes

4 answers

554 views

Hankel determinants of harmonic numbers

asked Feb 14, 2017 at 12:24

10 votes

1 answer

491 views

Number of bounded Dyck paths with "negative length"

asked Sep 26, 2020 at 8:55

9 votes

0 answers

242 views

Combinatorial interpretation of recurrence relation for Narayana numbers

asked Feb 13, 2023 at 17:23

9 votes

0 answers

213 views

Some quotients of Hankel determinants

asked Nov 20, 2017 at 15:52

9 votes

0 answers

464 views

An identity for Hankel determinants

asked Jan 30, 2013 at 14:00

7 votes

0 answers

1k views

Inverse of a matrix with binomial coefficients

asked Dec 19, 2010 at 13:39

7 votes

0 answers

444 views

Determinants associated to orthogonal polynomials

asked Nov 18, 2018 at 11:44

7 votes

0 answers

252 views

Hankel determinants for some convolutions of Catalan numbers

asked Mar 8, 2023 at 10:06

7 votes

1 answer

167 views

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

asked Aug 21, 2022 at 12:30

7 votes

0 answers

279 views

A conjecture about Hankel determinants of path generating functions

asked Oct 18, 2023 at 12:54

7 votes

0 answers

279 views

A recursion which defines polynomials with integer coefficients?

asked May 28, 2020 at 18:58

6 votes

0 answers

191 views

A curious $q$-identity

asked Mar 16, 2019 at 10:38

6 votes

0 answers

115 views

Recursions which define polynomials?

asked Aug 26, 2015 at 12:40

5 votes

1 answer

188 views

Reference request for simple $q-$ identities

asked Nov 16, 2015 at 10:26

5 votes

2 answers

246 views

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

asked Jun 28, 2016 at 8:57

5 votes

0 answers

776 views

Two different theorems but only one fact?

asked Apr 29, 2011 at 8:05

5 votes

0 answers

482 views

A class of determinants associated to Catalan-like Hankel determinants

asked Apr 24, 2010 at 11:08

Stack Exchange Network

68 Questions

Curious $q$-analogues

Some binomial coefficient determinants

A q-rious identity

Are the q-Catalan numbers q-holonomic?

Recurrent sequences and Bernoulli-like numbers

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

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

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

Lucky chance or combinatorial cause?

A matrix identity related to Catalan numbers

Total positivity of $q$-Pascal matrix?

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

Relation between a continued fraction and partitions

Hankel determinants of harmonic numbers

Number of bounded Dyck paths with "negative length"

Combinatorial interpretation of recurrence relation for Narayana numbers

Some quotients of Hankel determinants

An identity for Hankel determinants

Inverse of a matrix with binomial coefficients

Determinants associated to orthogonal polynomials

Hankel determinants for some convolutions of Catalan numbers

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

A conjecture about Hankel determinants of path generating functions

A recursion which defines polynomials with integer coefficients?

A curious $q$-identity

Recursions which define polynomials?

Reference request for simple $q-$ identities

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

Two different theorems but only one fact?

A class of determinants associated to Catalan-like Hankel determinants