Cauchy Principal Value Contour Integral with Applications

Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity. On the other hand, entropy prediction of systems behavior from a thermodynamic perspective common...

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Bibliographic Details
Main Authors: Matilde Legua, Luis M. Sánchez-Ruiz
Format: Article
Language:English
Published: MDPI AG 2017-05-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/19/5/215
Description
Summary:Cauchy principal value is a standard method applied in mathematical applications by which an improper, and possibly divergent, integral is measured in a balanced way around singularities or at infinity. On the other hand, entropy prediction of systems behavior from a thermodynamic perspective commonly involves contour integrals. With the aim of facilitating the calculus of such integrals in this entropic scenario, we revisit the generalization of Cauchy principal value to complex contour integral, formalize its definition and—by using residue theory techniques—provide an useful way to evaluate them.
ISSN:1099-4300