Residue integrals and Waring’s formulas for algebraic or even transcendental systems

DOI10.1080/17476933.2017.1419210zbMath1406.65036arXiv1709.00791OpenAlexW2782414532MaRDI QIDQ4646585

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

Publication date: 14 January 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00791

zbMATH Keywords

power sumsresidue integralssystems of transcendental equationsWaring's formulas

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Residues for several complex variables (32A27)

Related Items (3)

On Transcendental Systems of Equations ⋮ Unnamed Item ⋮ Residue integrals and Waring formulas for algebraic and transcendent systems of equations

Cites Work

• Evaluation of power sums of roots for systems of non-algebraic equations in \(\mathbb C^n\)
• 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
• Finding residue integrals for systems of non-algebraic equations in \(\mathbb C^n\)
• On calculation of power sums of roots for one class of systems of non-algebraic equations
• On systems of non-algebraic equations in ℂⁿ
• Residue Integrals and their Mellin Transforms
• On solutions and Waring’s formulas for systems of $n$ algebraic equations for $n$ unknowns
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