2018/12/07 by Barati, Somaya, Bényi, Beáta, Jafarzadeh, Abbas +1
#05A18 #11B73 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1812.02955
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 special case, determining the generating functions, some recurrences and a connection to r-Stirling numbers. To obtain our results, we use pure combinatorial arguments, classical manipulations of generating functions and to derive the generating functions we apply the symbolic method.