Stirling numbers of the first kind

Version 1.0.0.0 (923 Bytes) by Steven Huang
This c-mex function obtains the Stirling numbers of the first kind.
1.5K Downloads
Updated 15 Jul 2005

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The Stirling numbers of the first kind are defined as the coefficients of powers of x in the polynomials:

Q(x)=(x-1)(x-2)...(x-n). For example,

Q0(x)=1;
Q1(x)=x-1; %
Q2(x)=(x-1)(x-2)=x^2-3x+2;
Q3(x)=(x-1)(x-2)(x-3)=x^3-6x^2+11x-6;
...

This function calculate n>=2 case(n=0 and 1 are trivial case).

To use:
a = mStirling(4)
returns
a = 1 -10 35 -50 24

the coefficients are listed in ascending order of x.

Cite As

Steven Huang (2026). Stirling numbers of the first kind (https://www.mathworks.com/matlabcentral/fileexchange/8030-stirling-numbers-of-the-first-kind), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R13
Compatible with any release
Platform Compatibility
Windows macOS Linux
Version Published Release Notes
1.0.0.0