Academic Journal

Generalized Bell Numbers and Peirce Matrix via Pascal Matrix.

Bibliographic Details
Title: Generalized Bell Numbers and Peirce Matrix via Pascal Matrix.
Authors: Choi, Eunmi1
Source: International Journal of Mathematics & Mathematical Sciences. 8/8/2018, p1-8. 8p.
Subject Terms: *Matrices (Mathematics), *Pascal (Computer program language), *Binomial theorem, *Induction (Logic), *Multiplication
Abstract: With the Stirling matrix S and the Pascal matrix T, we show that TkS (k≥0) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of TkS as k-Bell number, we investigate properties of k-Bell numbers as well as k-Peirce matrix. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
ISSN:01611712
DOI:10.1155/2018/9096761