97 citations · 499 across the 139 of their papers we have counts for
6 papers · 1 filter
Restricted Stirling permutations
David Callan, Shi-Mei Ma, Toufik Mansour
In this paper, we study the generating functions for the number of pattern restricted Stirling permutations with a given number of plateaus, descents and ascents. Properties of the…
The descent statistic on signed simsun permutations
Shi-Mei Ma, Toufik Mansour, Hai-Na Wang
In this paper we study the generating polynomials obtained by enumerating signed simsun permutations by number of the descents. Properties of the polynomials, including the recurre…
Nonlinear differential equation for Korobov numbers
Dae San Kim, Taekyun Kim, Hyuck In Kwon +1
In this paper, we present nonlinear differential equations for the generating functions for the Korobov numbers and for the Frobenuius-Euler numbers. As an application, we find an…
Counting triangulations of some classes of subdivided convex polygons
Andrei Asinowski, Christian Krattenthaler, Toufik Mansour
We compute the number of triangulations of a convex -gon each of whose sides is subdivided by points. We find explicit formulas and generating functions, and we determine…
Five subsets of permutations enumerated as weak sorting permutations
David Callan, Toufik Mansour
We show that the number of members of S_n avoiding any one of five specific triples of 4-letter patterns is given by sequence A111279 in OEIS, which is known to count weak sorting…
-Bernstein functions and applications
Valmir Krasniqi, Toufik Mansour
We characterize of the -Bernstein functions in terms of -Laplace transform. Moreover, we present several results of -completely monotonic, -log completely monotonic and…