6 citations · 16 across the 5 of their papers we have counts for
5 papers
On Linear Differential Equations Involving a Para-Grassmann Variable
Toufik Mansour, Matthias Schork
As a first step towards a theory of differential equations involving para-Grassmann variables the linear equations with constant coefficients are discussed and solutions for equati…
Enumeration of -noncrossing partitions
Toufik Mansour, Simone Severini
A set partition is said to be -noncrossing if it avoids the pattern . We find an explicit formula for the ordinary generating function of the number of $(k,d…
Enumeration of 3-letter patterns in compositions
S. Heubach, T. Mansour
Let A be any set of positive integers and n a positive integer. A composition of n with parts in A is an ordered collection of one or more elements in A whose sum is n. We derive g…
Restricted 132-Dumont permutations
T. Mansour
A permutation is said to be {\em Dumont permutations of the first kind} if each even integer in must be followed by a smaller integer, and each odd integer is either follow…
Restricted 132-Involutions and Chebyshev Polynomials
O. Guibert, T. Mansour
We study generating functions for the number of involutions in avoiding (or containing once) 132, and avoiding (or containing once) an arbitrary permutation on letter…