A bijective proof of the hook-content formula for super Schur functions and a modified jeu de taquin.
A combinatorial proof of the sum of -cubes.
A continued fraction expansion for a -tangent function.
A determinant identity that implies Rogers-Ramanujan.
A different -analogue of Euler numbers. (Un autre -analogue des nombres d'Euler.)
A Foata bijection for the alternating group and for -analogues.
A Hilton-Milner theorem for vector spaces.
A moment sequence in the q-world
The aim of the paper is to present some initial results about a possible generalization of moment sequences to a so-called q-calculus. A characterization of such a q-analogue in terms of appropriate positivity conditions is also investigated. Using the result due to Maserick and Szafraniec, we adapt a classical description of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity to the q-situation. This makes a link between q-positive definiteness and q-complete...
A new approach to the Dyson coefficients.
A new class of -Fibonacci polynomials.
A new proof of the -Dixon identity
We give a new and elementary proof of Jackson’s terminating -analogue of Dixon’s identity by using recurrences and induction.
A note on an identity of Andrews.
A Note on Badiale's Characterization of the -Gamma Functions
Si precisano alcuni risultati del lavoro accennato nel titolo.
A note on -partial difference equations and some applications to generating functions and -integrals
We study the condition on expanding an analytic several variables function in terms of products of the homogeneous generalized Al-Salam-Carlitz polynomials. As applications, we deduce bilinear generating functions for the homogeneous generalized Al-Salam-Carlitz polynomials. We also gain multilinear generating functions for the homogeneous generalized Al-Salam-Carlitz polynomials. Moreover, we obtain generalizations of Andrews-Askey integrals and Ramanujan -beta integrals. At last, we derive ...
A note on the modified -Bernstein polynomials.
A note on the -binomial rational root theorem.
A note on the -Genocchi numbers and polynomials.
A note on the Rogers-Fine identity.
A -analogue of a formula of Frobenius.
A -analogue of an inequality due to Konrad Knopp.