Finding residue integrals for systems of non-algebraic equations in Cn. (January 2015)

• Record Type: Journal Article
• Authors: Kytmanov, A.A.; Kytmanov, A.M.; Myshkina, E.K.
• Is Part Of: Journal of symbolic computation. Volume 66(2015)
• Page Start: 98
• Page End: 110
• Publication Date: 2015-01
• Subjects: Non-algebraic systems of equations -- Residue integral; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2014.01.007
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: A method and the corresponding algorithm of finding residue integrals for systems of non-algebraic equations containing analytic functions are presented. Such integrals are connected to the power sums of roots for a certain system of equations. The described approach can be used for developing methods for the elimination of unknowns from systems of non-algebraic equations. It is shown how the obtained results can be used for calculating sums of multidimensional series.