DEBYE(3pm)

💖 DEBYE — the DEBYE(3pm) page but make it make sense 💖

okay bestie, sit down, hydrate, because we're talking about PDL::GSLSF::DEBYE and honestly? it's giving niche-but-iconic. this is the 3pm manual page, so it's a Perl module thing, and it lives in the User Contributed Perl Documentation corner of the universe. 🦋

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✨ NAME ✨

PDL::GSLSF::DEBYE — it's a PDL interface to GSL Special Functions. that's the whole vibe. 💅

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🌸 DESCRIPTION 🌸

so basically, this is an interface to the Special Function package that lives inside the GNU Scientific Library. that's it, that's the description. short queen, she said what she said. ✨

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👑 FUNCTIONS 👑

🎀 gsl_sf_debye_1

Signature:

(double x(); double [o]y(); double [o]e())

and here's the math, no cap, copied exactly:

D_n(x) := n/x^n Integrate[t^n/(e^t - 1), {t,0,x}]

gsl_sf_debye_1 does not process bad values. it will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. not me being dramatic about flags, it's just the truth 😭

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🎀 gsl_sf_debye_2

Signature:

(double x(); double [o]y(); double [o]e())

the formula, once again, verbatim:

D_n(x) := n/x^n Integrate[t^n/(e^t - 1), {t,0,x}]

gsl_sf_debye_2 does not process bad values. it will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. 🫶

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🎀 gsl_sf_debye_3

Signature:

(double x(); double [o]y(); double [o]e())

and the same gorgeous formula:

D_n(x) := n/x^n Integrate[t^n/(e^t - 1), {t,0,x}]

gsl_sf_debye_3 does not process bad values. it will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. lowkey the same disclaimer every time and honestly? consistent. 👑

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🎀 gsl_sf_debye_4

Signature:

(double x(); double [o]y(); double [o]e())

the formula, one more time, exactly as written:

D_n(x) := n/x^n Integrate[t^n/(e^t - 1), {t,0,x}]

gsl_sf_debye_4 does not process bad values. it will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. that's four out of four, she's committed. 🔥

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🌈 AUTHOR 🌈

this file is copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it>. All rights reserved. there is no warranty. you are allowed to redistribute this software / documentation under certain conditions — for the details, go look at the file COPYING in the PDL distribution. and if this file ever gets separated from the PDL distribution, the copyright notice should be included in the file. keep the receipts, bestie. 🧾

also: the GSL SF modules were written by G. Jungman. credit where credit is due, periodt. 💜

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and that's the whole page, we ate and left no crumbs. this was perl v5.38.2, dated 2024-04-10, page DEBYE(3pm) — mwah, bye babes 🎀💖✨