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mathematical physics > special function > Debye function

mathematical analysis > functional analysis > special function > Debye function

Preferred term

Debye function

Definition(s)

In mathematics, the family of Debye functions is defined by

${\\displaystyle D_{n}(x)={\ rac {n}{x^{n}}}\\int _{0}^{x}{\ rac {t^{n}}{e^{t}-1}}\\,dt.}$

The functions are named in honor of Peter Debye, who came across this function (with n = 3) in 1912 when he analytically computed the heat capacity of what is now called the Debye model.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Debye_function)

Broader concept(s)

special function

In other languages

fonction de Debye

French

URI

http://data.loterre.fr/ark:/67375/PSR-TW57S75P-7

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