Finding residue integrals for systems of non-algebraic equations in \(\mathbb C^n\)

DOI10.1016/j.jsc.2014.01.007zbMath1293.32007OpenAlexW2046857146MaRDI QIDQ2252123

E. K. Myshkina, Alexey A. Kytmanov, Aleksandr Mechislavovich Kytmanov

Publication date: 16 July 2014

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2014.01.007

zbMATH Keywords

residue integralnon-algebraic systems of equations

Mathematics Subject Classification ID

Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)

Related Items (13)

On a Formula for Calculating the Resultant of Two Entire Functions ⋮ On Transcendental Systems of Equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On an approach to finding sums of multiple numerical series ⋮ Algorithm for constructing an analog of Plan's formula ⋮ Algorithm for constructing an analogue of the Binet formula ⋮ Residue integrals and Waring’s formulas for algebraic or even transcendental systems ⋮ Unnamed Item ⋮ An algorithm for constructing the resultant of two entire functions ⋮ Residue integrals and Waring formulas for algebraic and transcendent systems of equations ⋮ On Some Examples of Systems of Transcendent Equations ⋮ On finding residue integrals for a class of systems of non-algebraic equations

Cites Work

• Analogs of recurrent Newton formulas
• Power sums of nonlinear systems of equations
• An algorithm for calculating power sums of roots for a class of systems of nonlinear equations
• Residue calculus and applications
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