CALCULATING A CLASS OF INTEGRALS ENCOUNTERED IN THEORETICAL CHEMISTRY

The methods for numerical calculating the Cauchy principal value integrals of the form v.p. $\int\limits_{ - \infty }^\infty {\log \left| {P\left( {ix} \right)/Q\left( {ix} \right)} \right|dx} $ are developed, where P(x) and Q(x) are monic polynomials of equal degrees with integer coefficients, and...

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Veröffentlicht in:	Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques Classe des sciences mathématiques et naturelles. Sciences mathématiques, 2011-01 (36), p.1-19
Hauptverfasser:	GUTMAN, I., MILOVANOVIĆ, G. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Gaussian quadratures Hydrocarbons Integrands Mathematical integrals Mathematical rings Mathematics Molecules Numerical quadratures Polynomials Rational functions
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description	The methods for numerical calculating the Cauchy principal value integrals of the form v.p. $\int\limits_{ - \infty }^\infty {\log \left\| {P\left( {ix} \right)/Q\left( {ix} \right)} \right\|dx} $ are developed, where P(x) and Q(x) are monic polynomials of equal degrees with integer coefficients, and i =√-1 These integrals play a distinguished role in theoretical chemistry.
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subjects	Gaussian quadratures Hydrocarbons Integrands Mathematical integrals Mathematical rings Mathematics Molecules Numerical quadratures Polynomials Rational functions
title	CALCULATING A CLASS OF INTEGRALS ENCOUNTERED IN THEORETICAL CHEMISTRY
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