Vorabdrucke
Preprints
narayana sequencesPDF
2026
Some remarks about q-Narayana polynomials for q=-1
arXiv:2603.04137
Continued fractions related to Narayana polynomials
arXiv:2604.24207
Symmetric Dyck paths and q-Narayana numbers,
arXiv:2601.08366
Some power series extensions of Fibonacci and Lucas polynomials,
arXiv: 2509.04881
A bivariate version of the spread polynomials
arXiv:2508.04751
Fibonacci, Lucas, and Spread Polynomials,
arXiv:2507.09689
Some remarks about the minimal polynomials of 4sin^2(pi/n)
arXiv:2503.19422
Nice q-analogs of orthogonal polynomials with nice moments: Some simple examples
arXiv: 2502.11988
Factorization of spread polynomials( with Hans-Christian Herbig)
arXiv:2412.18958
Some elementary remarks on the powers of a partial theta function and corresponding q-analogs of the binomial coefficients
arXiv:2408.14094
Hankel determinants of backward shifts of the coefficients of a partial theta function
arXiv:2407.05768
Some remarks about Hankel determinants which are related to Catalan-like numbers
arXiv:2404.05263
Hankel determinants of convolution powers of Catalan numbers revisited
arXiv:2403.11244
Some results and conjectures about Hankel determinants of sequences which are related to Catalan like numbers
arXiv: 2309.15557
Some experimental observations about Hankel determinants of convolution powers of Catalan numbers
arXiv:2308.07642
Shifted Hankel determinants of Catalan numbers and related results II: backward shiftsPDF
arXiv:2306.07733
Recurrences for certain sequences of binomial sums in terms of (generalized) Fibonacci and Lucas polynomials
arXiv:2212.02118
Some elementary aspects of q-Fibonacci and q-Lucas polynomials
arXiv:2209.08878
Some remarks about Hankel determinants of Motzkin polynomialsPDF
June 2022
Some observations about Hankel determinants of the columns of Pascal's triangle and related topics
arXiv:2202.07298
Hankel determinants of middle binomial coefficients and conjectures for some polynomial extensions and modifications
arXiv:2111.14492
Shifted Hankel determinants of Catalan numbers and related results
arXiv:2105.00660
Pascal's triangle, Hoggatt matrices, and analogous constructions
arXiv:2103.01652
(with Christian Krattenthaler) Bounded Dyck paths, bounded alternating sequences, orthogonal polynomials, and reciprocity
arXiv:2012.03878
Some remarks on q-Fibonacci polynomials and q-Catalan numbersPDF
September 2020
Some remarks on the power product expansion of the q-exponential series
arXiv:2006.06242
(with Christian Krattenthaler) Hankel determinants of linear combinations of moments of orthogonal polynomials
arXiv:2003.01676
Some determinants of Hessenberg matricesPDF
February 2020
Some remarks on generalized Fibonacci and Lucas polynomials
arXiv:1912.06651
Some observations about determinants which are connected with Catalan numbers and related topics
arXiv:1902.10468
(with Mike Tyson) An interesting class of Hankel determinants
arXiv:1807.08330
Some Hankel determinants with nice evaluationsPDF
May 2018 (Workshop at Peter Paule's 60th birthday)
A curious class of Hankel determinants
arXiv:1803.05164
Catalan numbers, Hankel determinants and Fibonacci polynomials
arXiv:1801.05608
Some remarks on Rogers-Szegö polynomials and Losanitsch's triangle
arXiv:1711.03340
Hankel determinants of harmonic numbers and related topics
arXiv:1703.00763
Some elementary observations on Narayana polynomials and related topics
arXiv:1611.05252
Some elementary observations on Narayana polynomials and related topics II: q-Narayana polynomials
arXiv:1611.05256
Some divisibility properties of q-Fibonacci numbers
arXiv:1604.07977
Elementary observations on Rogers-Szegö polynomials
arXiv:1602.07850
Some remarks and conjectures about Rogers-Szegö polynomialsPDF
October 2015, v.2 (Nov 2015)
Some elementary results and conjectures about q-Newton binomialsPDF
September 2015, v.3 (Sept 2015)
Some elementary q-identitiesPDF
May 2015, v.2 (June 2015)
Some remarks and conjectures related to lattice paths in strips along the x-axis
arXiv:1501.04750
Some results and conjectures about a class of q-polynomials with simple momentsPDF
December 2014
Some observations about super Catalan numbers, corresponding orthogonal polynomials, and their q-analogues
arXiv:1410.0131
Sum of cubes: Old proofs suggest new q-analogues
arXiv:1403.6609
Some notes on q-Gould polynomialsPDF
December 2013
Some remarks about q-Chebyshev polynomials and q-Catalan numbers and related results
arXiv:1312.2767
Discrete q-Hermite polynomials: An elementary approach
arXiv:1309.2082
Continuous q-Hermite polynomials: An elementary approach
arXiv:1307.0357
A special class of Hankel determinants
arXiv:1302.4235
Recurrences for some sequences of binomial sums II: A simpler approach
arXiv:1302.4239
Some remarks on the paper 'On a curious q-hypergeometric identity' by M.J. Cantero and A. IserlesPDF
2013
Addendum to 'Hankel determinants of some polynomial sequences'PDF
December 2012
Hankel determinants of some polynomial sequences
arXiv:1211.0816
Ramanujan's q-continued fractions and Schroeder-like numbersPDF
arXiv:1210.0372
q-Chebyshev polynomials
arXiv:1205.5383
A simple variant of the q-binomial theoremPDF
v.1 (02/2012)
A simple approach to q-Chebyshev polynomials
arXiv:1201.4703
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.
Some beautiful q-analogues of Fibonacci and Lucas polynomials
arXiv:1104.2699
Fibonacci polynomials, generalized Stirling numbers, and Bernoulli, Genocchi and tangent numbers
arXiv:1103.2610
Some operator identities related to q-Hermite polynomials
arXiv:1006.3210
Problem 11493PDF
Amer. Math. Monthly 117(3) (2010)
How to guess and prove explicit formulas for some Hankel determinantsPDF
2010
Some remarks and conjectures about Hankel determinantsPDF
v.5 (2010)
Hankel determinants of generalized q-exponential polynomials
arXiv:0909.5581
q-Fibonacci polynomials and q-Genocchi numbers
arXiv:0908.1219
q-Lucas polynomials and associated Rogers-Ramanujan type identities
arXiv:0907.0165
A simple approach to some Hankel determinants
arXiv:0902.1650
Hankel determinants of Schroeder-like numbers
arXiv:0901.4680
Hankel determinants of q-exponential polynomials
arXiv:0901.4698
Recurrence relations for powers of q-Fibonacci polynomials
arXiv:0806.0805
Some conjectures about q-Fibonacci polynomials
arXiv:0805.0415
q-Abel polynomials
arXiv:0802.2886
q-Fibonacci polynomials and q-Catalan numbersPDF
2008
Some remarks on the paper 'Hankel determinants for some common lattice paths' by R.A. Sulanke and G. XinPDF
2008
Simple proofs of Bressoud's and Schur's polynomial versions of the Rogers-Ramanujan identities
arXiv math CO/0701802
Ein paar einfache q-Analoga des binomischen LehrsatzesPDF
2005, v.2 (2007)
Some results and conjectures about recurrence relations for certain sequences of binomial sums
arXiv math CO/0611189
Finite q-identities related to well-known theorems of Euler and Gauss
arXiv math CO/0610546
A note on some binomial sums
arXiv math CO/0604431
q-Catalan numbers and q-Narayana polynomials
arXiv math CO/0507225