On Transcendental Systems of Equations

DOI10.17516/1997-1397-2021-14-3-326-343OpenAlexW3180030151MaRDI QIDQ5071352

Olga V. Khodos, Aleksandr Mechislavovich Kytmanov

Publication date: 21 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu917

zbMATH Keywords

residue integralpower sums of rootstranscendental systems of equations

Mathematics Subject Classification ID

Algorithms in computer science (68Wxx) Holomorphic functions of several complex variables (32Axx) Nonlinear algebraic or transcendental equations (65Hxx)

Related Items (1)

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Cites Work

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• Evaluation of power sums of roots for systems of non-algebraic equations in \(\mathbb C^n\)
• On localization of zeros of an entire function of finite order of growth
• Power sums of nonlinear systems of equations
• Multidimensional analogues of Newton's formulas for systems of nonlinear algebraic equations and some of their applications
• Finding residue integrals for systems of non-algebraic equations in \(\mathbb C^n\)
• Residue integrals and Waring formulas for algebraic and transcendent systems of equations
• On calculation of power sums of roots for one class of systems of non-algebraic equations
• An approach to define the resultant of two entire functions
• On systems of non-algebraic equations in ℂⁿ
• Residue integrals and Waring’s formulas for algebraic or even transcendental systems
• Residue Integrals and their Mellin Transforms
• Power Series of Roots of Systems of Entire Functions of Finite Growth Order

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