Debye function (original) (raw)
In mathematics, the family of Debye functions is defined by 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.
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| dbo:abstract | In mathematics, the family of Debye functions is defined by 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. (en) Die Debyeschen Funktionen sind eine Funktionsfamilie in der Mathematik. Sie stehen zu den Polylogarithmen in rationaler Beziehung und sind nach dem Physiker und theoretischen Chemiker Peter Debye benannt. Diese Funktionen werden in der Thermodynamik beim Debye-Modell und beim Stefan-Boltzmann-Gesetz über die Schwarzkörperstrahlung angewendet. (de) En mathématiques, les fonctions de Debye, du nom de Peter Debye, sont des fonctions réelles utilisées en thermodynamique, comme dans les calculs analytiques des intégrales de radiation ou des capacités thermiques de ce qu'on appelle de nos jours le modèle de Debye. (fr) In matematica, le funzioni di Debye sono una classe di funzioni speciali definite come Prendono il nome da Peter Debye, che le ha per primo introdotte (per ) nel 1912 durante i suoi studi sulla capacità termica dei solidi. (it) 德拜函数（Debye function）是彼得·德拜于1912年估算声子对固体的比热的德拜模型时创立的函数，定义如下 展开式 。 其中是伯努利数。 其中是m阶多重对数 渐近式 For : 。 For : : (zh) |
| dbo:wikiPageExternalLink | https://www.gnu.org/software/gsl/manual/html_node/Debye-Functions.html http://www.csit.fsu.edu/~burkardt/f_src/toms757/toms757.html http://mathworld.wolfram.com/DebyeFunctions.html http://www.netlib.org/toms/757 |
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| rdfs:comment | In mathematics, the family of Debye functions is defined by 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. (en) Die Debyeschen Funktionen sind eine Funktionsfamilie in der Mathematik. Sie stehen zu den Polylogarithmen in rationaler Beziehung und sind nach dem Physiker und theoretischen Chemiker Peter Debye benannt. Diese Funktionen werden in der Thermodynamik beim Debye-Modell und beim Stefan-Boltzmann-Gesetz über die Schwarzkörperstrahlung angewendet. (de) En mathématiques, les fonctions de Debye, du nom de Peter Debye, sont des fonctions réelles utilisées en thermodynamique, comme dans les calculs analytiques des intégrales de radiation ou des capacités thermiques de ce qu'on appelle de nos jours le modèle de Debye. (fr) In matematica, le funzioni di Debye sono una classe di funzioni speciali definite come Prendono il nome da Peter Debye, che le ha per primo introdotte (per ) nel 1912 durante i suoi studi sulla capacità termica dei solidi. (it) 德拜函数（Debye function）是彼得·德拜于1912年估算声子对固体的比热的德拜模型时创立的函数，定义如下 展开式 。 其中是伯努利数。 其中是m阶多重对数 渐近式 For : 。 For : : (zh) |
| rdfs:label | Debyesche Funktionen (de) Debye function (en) Fonction de Debye (fr) Funzioni di Debye (it) 德拜函数 (zh) |
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