1 citations · 2 across the 11 of their papers we have counts for
11 papers
Signed Mahonian Polynomials on Colored Derangements
Hasan Arslan, Moussa Ahmia, Nazmiye Alemdar
The polynomial of major index over a classical Weyl group with a generating set is called the Mahonian polynomial over , and also the polynomia…
On the arithmetic properties of partitions into parts simultaneously -regular and -distinct
Mohammed L. Nadji, Moussa Ahmia
In 2017, Keith presented a comprehensive survey on integer partitions into parts that are simultaneously regular, distinct, and/or flat. Recently, the authors initiated a study of…
Inversions in Colored Permutations, Derangements, and Involutions
Moussa Ahmia, José L. Ramírez, Diego Villamizar
Arslan, Altoum, and Zaarour introduced an inversion statistic for generalized symmetric groups. In this work, we study the distribution of this statistic over colored permutations,…
Enumeration on polyominoes determined by Catalan words avoiding
M. Ahmia, J. -L. Baril, B. Rezig
A Catalan word of length that avoids the pattern is a sequence with and for all , while ensuring that no s…
Combinatorics of three-Catalan numbers and some positivities
Boualam Rezig, Moussa Ahmia
We introduce the three-Catalan triangle, highlighting the three-Catalan numbers along with their recurrence relation and combinatorial interpretation, which allows us to establish…
Log-concavity and strong -log-convexity for some generalized triangular arrays
Rezig Boualam, Moussa Ahmia
In this paper, we provide criteria for the log-concavity of rows and the strong -log-convexity of the generating functions of rows in more generalized triangles. Additionally, w…
-Modular, -congruent and -duplicate partitions
Mohammed L. Nadji, Ahmia Moussa
In this paper, we investigate the combinatorial properties of three classes of integer partitions: (1) -modular partitions, a class consisting of partitions into parts with a nu…
Combinatorics of -Mahonian numbers of type and log-concavity
Ali Kessouri, Moussa Ahmia, Hasan Arslan +1
This paper is a continuation of earlier work of Arslan \cite{Ars}, who introduced the Mahonian number of type by using a new statistic on the hyperoctahedral group , in…
Over-Mahonian numbers: Basic properties and unimodality
Ali Kessouri, Moussa Ahmia, Salim Mesbahi
In this paper, we introduce the concept of the over-Mahonian number, which counts the overlined permutations of length with inversions, allowing the first elements associat…
New modular symmetric function and its applications: Modular -Stirling numbers
Bazeniar Abdelghafour, Moussa Ahmia, José L. Ramírez +1
In this paper, we consider a generalization of the Stirling number sequence of both kinds by using a specialization of a new family of symmetric functions. We give combinatorial in…
A generalization of complete and elementary symmetric functions
Moussa Ahmia, Mircea Merca
In this paper, we consider the generating functions of the complete and elementary symmetric functions and provide a new generalization of these classical symmetric functions. Some…