Geodesic
Calculating a class of integrals encountered in theoretical chemistry
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011), p. 1

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The methods for numerical calculating the Cauchy principal value integrals of the form $\ {\displaystyle\mbox{\rm v.p.} \int_{-ıfty}^{+ıfty} }og|P(ix)/Q(ix)|\,dx$ are developed, where $P(x)$ and $Q(x)$ are monic polynomials of equal degrees with integer coefficients, and $i=\sqrt{-1}$\,. These integrals play a distinguished role in theoretical chemistry.
Classification : 65D30 92E10
Keywords: Numerical integration, Cauchy principal value integral, rational function, double exponential transformation, Gaussian quadrature, Chebyshev weight function, weights, nodes, theory of cyclic conjugation, cyclic conjugation energy effect, chemistry 
I. Gutman; G. V. Milovanović. Calculating a class of integrals  encountered in  theoretical chemistry. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011), p. 1 . http://geodesic.mathdoc.fr/item/BASS_2011_36_a0/
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