What is Discrete Calculus? This video is all about the Stirling numbers, going over:
•Stirling numbers of the first kind
•Stirling numbers of the second kind
•Recurrence relations for both kinds
•Definitions using rising and falling factorials
•Asymptotic formulas for the Stirling numbers
•Lah numbers
•A definition of the Bell numbers using Stirling numbers
•A definition of the Bernoulli numbers using Stirling numbers
•Some problem solving involving the Stirling numbers
This video was written by Alistair Forsyth as part of the series “Discrete Calculus with the Wolfram Language”.