Cauchy principal value contour integral with applications

Legua, M. (Universidad de Zaragoza) ; Sánchez-Ruiz, L.M.

Resumen: 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.

Idioma: Inglés

DOI: 10.3390/e19050215

Año: 2017

Publicado en: ENTROPY 19, 5 (2017), 215 [9 pp]
ISSN: 1099-4300

Factor impacto JCR: 2.305 (2017)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 22 / 78 = 0.282 (2017) - Q2 - T1

Factor impacto SCIMAGO: 0.592 - Physics and Astronomy (miscellaneous) (Q2)

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)