A new statistic on linear and circular -mino arrangements.
A new triple sum combinatorial identity.
A normalization formula for the Jack polynomials in superspace and an identity on partitions.
A note on a paper by A. Brandt and Y. Intrator
A note on a paper by Brenner.
A note on alternating sums.
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 consecutive ones in a binary matrix.
A note on divisibility of the number of matchings of a family of graphs.
A note on major sequences and external activity in trees.
A note on Möbius inversion over power set lattices
In this paper, we establish a theorem on Möbius inversion over power set lattices which strongly generalizes an early result of Whitney on graph colouring.
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations.
A note on naturally embedded ternary trees.
A note on nested sums.
A note on palindromic delta-vectors for certain rational polytopes.
A note on permutations without runs of given length.
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 rational succession rules.
A note on representation functions with different weights
For any positive integer k and any set A of nonnegative integers, let denote the number of solutions (a₁,a₂) of the equation n = a₁ + ka₂ with a₁,a₂ ∈ A. Let k,l ≥ 2 be two distinct integers. We prove that there exists a set A ⊆ ℕ such that both and hold for all n ≥ n₀ if and only if log k/log l = a/b for some odd positive integers a,b, disproving a conjecture of Yang. We also show that for any set A ⊆ ℕ satisfying for all n ≥ n₀, we have as n → ∞.