q-Catalan numbers and q-Narayana polynomials,

arXiv math CO/0507225

A note on some binomial sums,

arXiv math CO/0604431

Ein paar einfache q-Analoga des binomischen Lehrsatzes,

2005, v.2.2007

Finite q-identities related to well-known theorems of Euler and Gauss,

arXiv math CO/0610546

Some results and conjectures about recurrence relations for certain sequences of binomial sums,

arXiv math CO/0611189

Simple proofs of Bressoud's and Schur's polynomial versions of the Rogers-Ramanujan identities,

arXiv math CO/0701802

q-Fibonacci polynomials and q-Catalan numbers,

2008

q-Abel polynomials,

arXiv:0802.2886

Some conjectures about q-Fibonacci polynomials,

arXiv:0805.0415

Recurrence relations for powers of q-Fibonacci polynomials,

arXiv:0806.0805

Some remarks on the paper "Hankel determinants for some common lattice paths" by R. A. Sulanke and G. Xin,

2008

Hankel determinants of Schroeder-like numbers,

arXiv:0901.4680

Hankel determinants of q-exponential polynomials,

arXiv:0901.4698

Some remarks and conjectures about Hankel determinants,

v5. 2010

Problem 11493,

Amer. Math. Monthly 117(3), 2010

A simple approach to some Hankel determinants,

arXiv:0902.1650

q-Lucas polynomials and associated Rogers-Ramanujan type identities,

arXiv:0907.0165

q-Fibonacci polynomials and q-Genocchi numbers,

arXiv:0908.1219

Hankel determinants of generalized q-exponential polynomials,

arXiv:0909.5581

Some operator identities related to q-Hermite polynomials,

arXiv:1006.3210

Fibonacci polynomials, generalized Stirling numbers, and Bernoulli, Genocchi and tangent numbers,

arXiv:1103.2610

How to guess and prove explicit formulas for some Hankel determinants,

2010

Some beautiful q-analogues of Fibonacci and Lucas polynomials,

arXiv:1104.2699

Some nice Hankel determinants,

arXiv:1109.1449. The conjectures in this paper have been proved by X.-K. Chang et al., A direct method for evaluating some nice Hankel determinants
and proofs of several conjectures, Linear Algebra Appl. 438(2013), 2523-2541

A simple approach to q-Chebyshev polynomials,

v.1 (01/18/2012), v.4: arXiv:1201.4703

A simple variant of the q-binomial theorem,

v.1 (02/20/2012)

q-Chebyshev polynomials,

v.1. (05/14/2012), v.6 arXiv:1205.5383 v4

Ramanujan's q-continued fractions and Schröder-like numbers,

(09/30/2012)

Hankel determinants of some polynomial sequences

arXiv:1211.0816

Addendum to my paper "Hankel determinants of some polynomial sequences"

(12/04/2012)

Recurrences for some sequences of binomial sums II: A simpler approach

(12/21/2012). v.2. arXiv:1302.4239

A special class of Hankel determinants

(02/15/2013), v.2. arXiv:1302.4235

Continuous q-Hermite polynomials: An elementary approach

(07/01/2013), arXiv:1307.0357

Some remarks on the paper "On a curious q-hypergeometric identity" by M. J. Cantero and A. Iserles

(22/08/2013), v.2. (17/09/2013)

Discrete q-Hermite polynomials: An elementary approach

(03/09/2013), v.2. arXiv:1309.2082

Some remarks about q- Chebyshev polynomials and q-Catalan numbers and related results

(07/12/2013), v.2. arXiv:1312.2767

Some notes on q-Gould polynomials

(21/12/2013)

Sum of cubes: Old proofs suggest new q-analogues

(03/19/2014), v.5. (04/03/2014), arXiv:1403.6609

Some observations about super Catalan numbers, corresponding orthogonal polynomials, and their q-analogues

(09/22/2014), v.2. (10/01/2014), v.3. (10/22/2014), arXiv:1410.0131

Some results and conjectures about a class of q-polynomials with simple moments

(12/07/2014)

Some elementary q-identities

(05/27/2015), v.2. (20/06/2015)

Some elementary results and conjectures about q-Newton binomials

(09/17/2015), v.3. (09/21/2015

Some remarks and conjectures about Rogers-Szegö polynomials

(10/21/2015), v.2. (11/03/2015)

Some remarks and conjectures related to lattice paths in strips along the x-axis

(07/01/2014), v.4. (01/20/2015) arXiv:1501.04750, v.8. (01/31/2016), v.9. (06/20/2016), v.10. (06/23/2016)

Elementary observations on Rogers-Szegö polynomials

(02/24/2016), v.2. (03/23/2016), v.3. (03/30/2016) arXiv:1602.07850

Some divisibility properties of q-Fibonacci numbers

(05/01/2016)

Some elementary observations on Narayana polynomials and related topics

(08/15/2016), v.2 (08/25/2016), v.3 (08/26/2016), v4. (09/05/2016), v5. (09/07/2016), v.6. (11/15/2016), arXiv:1611.05252

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

(11/15/2016) arXiv:1611.05256, v.2. (11/25/2016), v.3. (11/30/2016)

Hankel determinants of harmonic numbers and related topics

arXiv:1703.00763

Some remarks on Rogers-Szegö polynomials and Losanitsch's triangle

(09/22/2017),v.2 (09/28/2017), v.3 (10/03/2017), v.4 (10/04/2017), v.5 (11/01/2017), v.6 (11/06/2017)

Catalan numbers, Hankel determinants and Fibonacci polynomials

(01/17/2018) arXiv:1801.05608

A curious class of Hankel determinants

(03/07/2018), v.2 (03/11/2018), v.3 (03/14/2018) arXiv:1803.05164, v.4 (03/28/2018),

Some Hankel determinants with nice evaluations

(05/17/2018) Workshop at Peter Paule's 60th birthday

An interesting class of Hankel determinants (with Mike Tyson)

(07/22/2018) arXiv: 1807.08330

Some observations about determinants which are connected with Catalan numbers and related topics,

(02/15/2019), arXiv:1902.10468, v.3 (03/01/2019), v.4 (03/31/2019), v.5 (05/02/2019

Some remarks on generalized Fibonacci and Lucas polynomials,

arXiv:1912.06651

Some determinants of Hessenberg matrices,

(02/11/2020)

Hankel determinants of linear combinations of moments of orthogonal polynomials, (with Christian Krattenthaler)

(03/03/2020), arXiv:2003.01676

Some remarks on the power product expansion of the q-exponential series,

(06/11/2020), arXiv: 2006.06242

Some remarks on q-Fibonacci polynomials and q-Catalan numbers

(09/08/2020)

Bounded Dyck paths, bounded alternating sequences, orthogonal polynomials, and reciprocity (with Christian Krattenthaler)

(12/08/2020), arXiv:2012.0387

Pascal s triangle, Hoggatt matrices, and analogous constructions

(02//17/2021), v2 (03/03/2021) arXiv: 2103.01652, v3 (03/11/2021)

Shifted Hankel determinants of Catalan numbers and related results

(05/04/2021) arXiv: 2105.00600

Hankel determinants of middle binomial coefficients and conjectures for some polynomial extensions and modifications

(11/29/2021),arXiv:2111.14492

Some elementary aspects of q-Fibonacci and q-Lucas polynomials

(09/19/2022) arXiv:2209.08878

Some observations about Hankel determinants of the columns of Pascal’s triangle and related topics

(02/18/2022), arXiv:2202.07298, v.2. (02/23/2022)

Some remarks about Hankel determinants of Motzkin polynomials

(06/20/2022)

Recurrences for certain sequences of binomial sums in terms of (generalized) Fibonacci and Lucas polynomials

(12/02/2022)

arXiv:2212.02118

Shifted Hankel determinants of Catalan numbers and related results II:backward shifts

(06/13/2023)