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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ivan Gonzalez & Igor Kondrashuk & Victor H. Moll & Alfredo Vega, 2022. "Analytic Expressions for Debye Functions and the Heat Capacity of a Solid," Mathematics, MDPI, vol. 10(10), pages 1-21, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1745-:d:819949
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