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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.
Steven Huang (2021). Stirling numbers of the first kind (https://www.mathworks.com/matlabcentral/fileexchange/8030-stirling-numbers-of-the-first-kind), MATLAB Central File Exchange. Retrieved .
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The numbers calculated doesn't seem to be correct, at least not for n=100.