Mixed Restricted Stirling Numbers
MTMT : 30679290
Date : 2019
Journal title : Acta Mathematica Hungarica
Journal volume : 158
Journal issue number :
Pages : 159-172
Document type : folyóiratcikk
Subject : Stirling numbers, Természettudományok, Természettudományok/Matematika- és számítástudományok
Abstract :
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.
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