Residue integrals and Waring formulas for algebraic and transcendent systems of equations

We discuss a system of algebraical and transcendental systems of equations of general form. We determine residue integrals over the cycles, connected with the system. We give formulas for their calculation and give multi-dimensional analogs of Waring formulas, i. e., connection between the coefficie...

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Bibliographic Details
Published inRussian mathematics Vol. 63; no. 5; pp. 36 - 50
Main Authors Kytmanov, A. M., Myshkina, E. K.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2019
Springer Nature B.V
Subjects
Integrals
Mathematical analysis
Mathematics
Mathematics and Statistics
Monte Carlo simulation
residue integral
algebraic and non-algebraic systems of equations
Waring formulas
power sum of roots
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Summary:We discuss a system of algebraical and transcendental systems of equations of general form. We determine residue integrals over the cycles, connected with the system. We give formulas for their calculation and give multi-dimensional analogs of Waring formulas, i. e., connection between the coefficients of equations with power sums of the roots of system.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X19050049