6 citations · 6 across the 5 of their papers we have counts for
7 papers · 1 filter
Prime and Touchard Congruences of Mixed-Type Bell Numbers
Daniel Yaqubi, Madjid Mirzavaziri
This paper establishes a comprehensive combinatorial and arithmetic framework for mixed Stirling and mixed Bell numbers, bridging partition structures, Touchard polynomials, and pr…
Arithmetic Properties of Mixed Stirling Numbers of the second kind
Daniel Yaqubi, Madjid Mirzavaziri
We investigate the mixed Stirling numbers of the second kind, , which count partitions of distinct elements into unlabeled and labeled non-e…
On the Graphical -Stirling Numbers of the First Kind for Specific Graph Families
Daniel Yaqubi, Madjid Mirzavaziri
This paper investigates the \textbf{graphical -Stirling numbers of the first kind}, denoted by $\str{G}{k}$, which enumerate partitions of a vertex set into disjoint…
Some results on average of Fibonacci and Lucas sequences
Daniel Yaqubi, Amirali Fatehizadeh
In this paper, we discuss about some results on average of Fibonacci and Lucas sequences that may be found in the OEIS code A111035.
Mixed coloured permutations
Beáta Bényi, Daniel Yaqubi
In this paper we introduce mixed coloured permutation, permutations with certain coloured cycles, and study the enumerative properties of these combinatorial objects. We derive the…
Mixed restricted Stirling numbers
Somaya Barati, Beáta Bényi, Abbas Jafarzadeh +1
In this note we investigate mixed partitions with extra condition on the sizes of the blocks. We give a general formula and the generating function. We consider in more details a s…