Abstract
Here presented is a unified expression of Stirling numbers and their generalizations by using generalized factorial functions and generalized divided difference. Three algorithms for calculating the Stirling numbers and their generalizations based on our unified form are also given, which include a comprehensive algorithm using the characterization of Riordan arrays.
| Original language | American English |
|---|---|
| Journal | Journal of Combinatorial Mathematics and Combinatorial Computing |
| Volume | 86 |
| State | Published - 2013 |
Keywords
- Pochhammer symbol and k-Pochhammer symbol.
- Stirling numbers of the first kind
- Stirling numbers of the second kind
- divided difference
- factorial polynomials
- generalized factorial
- k-Gamma functions
Disciplines
- Mathematics