Analytic expressions for Debye functions and the heat capacity of a solid

Abstract

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

9 pages

References in corpus (3)

• Optimized Negative Dimensional Integration Method (NDIM) and multiloop Feynman diagram calculation
• Modular application of an Integration by Fractional Expansion (IBFE) method to multiloop Feynman diagrams
• Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals

Cited by in corpus (2)

• Closed Form Expressions for Certain Improper Integrals of Mathematical Physics
• Inferring partial crystalline order in liquids from electrical resistivity