CALCULATING A CLASS OF INTEGRALS ENCOUNTERED IN THEORETICAL CHEMISTRY

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
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
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0561-7332
2406-0909