# Category:Stirling Numbers

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This category contains results about Stirling Numbers.

Definitions specific to this category can be found in Definitions/Stirling Numbers.

## Subcategories

This category has the following 7 subcategories, out of 7 total.

### E

### F

## Pages in category "Stirling Numbers"

The following 41 pages are in this category, out of 41 total.

### B

### E

### F

### P

### S

- Second Inversion Formula for Stirling Numbers
- Signed Stirling Number of the First Kind of Number with Greater
- Stirling Number of n with n-m is Polynomial in n of Degree 2m
- Stirling Number of n with n-m is Polynomial in n of Degree 2m/Second Kind
- Stirling Number of n with n-m is Polynomial in n of Degree 2m/Unsigned First Kind
- Stirling Number of Number with Greater
- Stirling Number of the Second Kind of 1
- Stirling Number of the Second Kind of Number with Greater
- Stirling Number of the Second Kind of Number with Self
- Sum over k of m choose k by -1^m-k by k to the n
- Sum over k of m-n choose m+k by m+n choose n+k by Stirling Number of the Second Kind of m+k with k
- Sum over k of m-n choose m+k by m+n choose n+k by Unsigned Stirling Number of the First Kind of m+k with k
- Sum over k of Stirling Number of the Second Kind of n+1 with k+1 by Unsigned Stirling Number of the First Kind of k with m by -1^k-m
- Sum over k of Stirling Numbers of Second Kind by x^k
- Sum over k of Stirling Numbers of the Second Kind of k with m by n choose k
- Sum over k of Stirling Numbers of the Second Kind of k+1 with m+1 by n choose k by -1^k-m
- Sum over k of Unsigned Stirling Number of the First Kind of n+1 with k+1 by Stirling Number of the Second Kind of k with m by -1^k-m
- Sum over k of Unsigned Stirling Numbers of First Kind by x^k
- Sum over k of Unsigned Stirling Numbers of the First Kind of n with k by k choose m
- Sum over k of Unsigned Stirling Numbers of the First Kind of n+1 with k+1 by k choose m by -1^k-m
- Sum over k to n of Stirling Number of the Second Kind of k with m by m+1^n-k
- Sum over k to n of Unsigned Stirling Number of the First Kind of k with m by n factorial over k factorial
- Summation over Lower Index of Unsigned Stirling Numbers of the First Kind
- Summation over Lower Index of Unsigned Stirling Numbers of the First Kind with Alternating Signs