Analytic Expressions for Debye Functions and the Heat Capacity of a Solid

Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll and Alfredo Vega
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Ivan Gonzalez: Departmento de Física y Astronomia, Universidad de Valparaiso, Valparaiso 2362735, Chile
Igor Kondrashuk: Grupo de Matemática Aplicada & Grupo de Física de Altas Energías, Departmento de Ciencias Básicas, Campus Fernando May, Universidad del Bío-Bío, Casilla 447, Chillán 3780227, Chile
Victor H. Moll: Department of Mathematics, Tulane University, New Orleans, LA 70118, USA
Alfredo Vega: Departmento de Física y Astronomia, Universidad de Valparaiso, Valparaiso 2362735, Chile

Mathematics, 2022, vol. 10, issue 10, 1-21

Abstract: Analytic expressions for the N -dimensional Debye function are obtained by the method of brackets. The new expressions are suitable for the study of heat capacity of solids and the analysis of the asymptotic behavior of this function, both in the high and low temperature limits.

Keywords: method of brackets; Debye functions; heat capacity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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