Note on generating function of higher dimensional bell numbers
Authors :
A. Joseph Kennedy 1 *, P. Jaish 2 and P. Sundaresan 3
Author Address :
1,2,3 Department of Mathematics, Pondicherry University, Pondicherry-605014, India.
*Corresponding author.
Abstract :
In this paper, we study the generating function of the Higher dimensional Bell number, which are arises as dimensions of the class partition algebras an important subalgebra of the tensor
product partition algebra $P_k(x)\otimes P_k(y),$ denoted by $P_{k}(x,y)$.
Keywords :
Partition algebra, Bell number, Stirling number, wreath product.
DOI :
Article Info :
Received : November 19, 2019; Accepted : February 13, 2020.
