Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011) no. 1
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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) no. 1. http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a0/
@article{BASS_2011_36_1_a0,
author = {I. Gutman and G. V. Milovanovi\'c},
title = {Calculating a class of integrals encountered in theoretical chemistry},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {1 - 19},
year = {2011},
volume = {36},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a0/}
}
TY - JOUR
AU - I. Gutman
AU - G. V. Milovanović
TI - Calculating a class of integrals encountered in theoretical chemistry
JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY - 2011
SP - 1
EP - 19
VL - 36
IS - 1
UR - http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a0/
ID - BASS_2011_36_1_a0
ER -
%0 Journal Article
%A I. Gutman
%A G. V. Milovanović
%T Calculating a class of integrals encountered in theoretical chemistry
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2011
%P 1 - 19
%V 36
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a0/
%F BASS_2011_36_1_a0
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.
