On the Integrals of Rational Functions When Having Pole in the Real Axis and Their Cauchy Principal Value
Zhirong Li · 2004
Based on the weakening term of the integral complex analysis, this paper discusses abnormal integrals of the rational function R(z) without pole in the semi-real axis x≥0; also discusses the Cauchy principal value(P. V. ) of the abnormal integrals when R(z) only has pole z = 1 in the semi-real axis x≥ 0; further,presents the theorem of relational expression between R(x)dx (or the Cauchy principal value) and the residues.