A Loopless Implementation of a Gray Code for Signed Permutations
A lower bound for the arithmetical complexity of Sturmian words.
A Marica-Schönheim Theorem for an Infinite Sequence of Finite Sets.
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 multinomial extension of an inequality of Haber.
A multivariate arithmetic function of combinatorial and topological significance.
A multivariate interlace polynomial and its computation for graphs of bounded clique-width.
A multivariate Lagrange inversion formula for asymptotic calculations.
A natural extension of Catalan numbers.
A natural series for the natural logarithm.
A new algorithm for the four counterfeit coins problem.
A new algorithm for the three counterfeit coins problem.
A new approach to -Bernoulli numbers and -Bernoulli polynomials related to -Bernstein polynomials.
A new approach to the Dyson coefficients.
A new class of infinite products, and Euler's totient.
A new class of -Fibonacci polynomials.
A new combinatorial identity.
A new generating function of (-) Bernstein-type polynomials and their interpolation function.
A new proof of some identities of Bressoud.
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.