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

Autor:	E. K. Myshkina, Alexander M. Kytmanov
Rok vydání:	2019
Předmět:	010101 applied mathematics Residue (complex analysis) Pure mathematics General Mathematics 010102 general mathematics Transcendental number 0101 mathematics Algebraic number System of linear equations 01 natural sciences Mathematics
Zdroj:	Russian Mathematics. 63:36-50
ISSN:	1934-810X 1066-369X
DOI:	10.3103/s1066369x19050049
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e6293e300bea7836ca2fbf3e922b25da https://doi.org/10.3103/s1066369x19050049 Zobrazit plný text záznamu Full text from SpringerLink