From: Ed Smith-Rowland <3dw4rd@verizon.net>
To: gsl-discuss@sourceware.org
Subject: Debye functions.
Date: Fri, 24 Mar 2017 09:20:00 -0000 [thread overview]
Message-ID: <213cda3e-0b6c-d4bb-ca4c-f868245b791b@verizon.net> (raw)
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
next reply other threads:[~2017-03-24 9:20 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2017-03-24 9:20 Ed Smith-Rowland [this message]
2017-03-25 21:24 ` maxgacode
2017-03-27 19:04 ` Ed Smith-Rowland
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