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math.CO2025
On Bell numbers of type
Hasan Arslan, Nazmiye Alemdar, Mariam Zaarour +1
In this paper, we will introduce Bell numbers of type as an analogue to the classical Bell numbers related to all the partitions of the set . Then based on a signed…
math.CO2023
Cauchy numbers in type
Alnour Altoum, Hasan Arslan, Mariam Zaarour
In this paper, we will introduce the Cauchy numbers of both kinds in type B and produce their corresponding exponential generating functions. Then we will provide some identities i…
math.CO2022
Integer Representations of the Generalized Symmetric Groups
Hasan Arslan, Alnour Altoum, Mariam Zaarour
In this paper, we construct a mixed-base number system over the generalized symmetric group , which is a complex reflection group with a root system of type .…