Noncommutative Sylvester's determinantal identity.
On a generalized recurrence for Bell numbers.
On a theorem of Landau. (Sur un théorème de Landau.)
On another extension of -Pfaff-Saalschütz formula
In this paper we give an extension of -Pfaff-Saalschütz formula by means of Andrews-Askey integral. Applications of the extension are also given, which include an extension of -Chu-Vandermonde convolution formula and some other -identities.
On certain generalized q-Appell polynomial expansions
We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials as well as to...
On derangement polynomials of type .
On Kadell's two conjectures for the -Dyson product.
On multiple interpolation functions of the Nörlund-type -Euler polynomials.
On -binomial coefficients.
On partitions with difference conditions.
On q-Euler numbers, q-Salié numbers and q-Carlitz numbers
On some arithmetical properties of the Genocchi numbers and polynomials.
On some partitions related to .
On the k-gamma q-distribution
We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Díaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.
On the least common multiple of -binomial coefficients.
On the -analogue of the sum of cubes.
On the symmetries of the -Bernoulli polynomials.
-partitions and a multi-parameter Klyachko idempotent.
Parameter augmentation for two formulas.
Parity theorems for statistics on permutations and Catalan words.