Mixed restricted Stirling numbers

Autor: Barati, Somaya, Bényi, Beáta, Jafarzadeh, Abbas, Yaqubi, Daniel
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 12 pages
Databáze: arXiv