Debye functions.
Ed Smith-Rowland
3dw4rd@verizon.net
Fri Mar 24 09:20:00 GMT 2017
Greetings,
I've been looking at the Debye integrals
D_n(x) = \frac{n}{x^n}\int_{0}^{x} \frac{t^n}{e^t - 1}dt
The integrand is everywhere positive.
The definite integral must be zero for x=0.
The values returned by gsl debye functions start at one for x=0 and
monotonically decrease.
The definite integral of a positive functions must start at zero and
monotonically increase.
Is it possible that we have a complementary Debye integral? Perhaps scaled?
In any case, the functions can't match the formulas in the manual.
Thank you.
Ed Smith-Rowland
More information about the Gsl-discuss
mailing list