Title
Cauchy Principal Value Contour Integral with Applications.
Abstract
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.
Year
DOI
Venue
2017
10.3390/e19050215
ENTROPY
Keywords
Field
DocType
Cauchy principal value,contour integral,entropy as measurement,information extraction,thermodynamics,aerodynamics
Cauchy problem,Line integral,Mathematical optimization,Mathematical analysis,Methods of contour integration,Residue theorem,Cauchy's integral formula,Improper integral,Cauchy's integral theorem,Cauchy principal value,Mathematics
Journal
Volume
Issue
ISSN
19
5
1099-4300
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Matilde P. Legua100.34
Luis Manuel Sánchez Ruiz204.06