This article is cited in 3 scientific papers (total in 3 papers)
On some systems of non-algebraic equations in $\mathbb C^n$
Olga V. Khodos
Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
A method of finding residue integrals for systems of non-algebraic equations containing entire functions is presented in the paper. Such integrals are connected with the power sums of roots of certain system of equations. The proposed approach can be used for developing methods for the elimination of unknowns from systems of non-algebraic equations. It is shown that obtained results can be used for investigation some model of chemical kinetics.
non-algebraic systems of equations, residue integral, power sums.
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Received in revised form: 09.06.2014
Olga V. Khodos, “On some systems of non-algebraic equations in $\mathbb C^n$”, J. Sib. Fed. Univ. Math. Phys., 7:4 (2014), 455–465
Citation in format AMSBIB
\paper On some systems of non-algebraic equations in $\mathbb C^n$
\jour J. Sib. Fed. Univ. Math. Phys.
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Barlikbay B. Prenov, “On an analog of Descartes’ rule of signs and the Budan–Fourier theorem for entire functions”, Zhurn. SFU. Ser. Matem. i fiz., 11:3 (2018), 317–321
A. A. Kytmanov, A. M. Kytmanov, E. K. Myshkina, “Residue integrals and Waring's formulas for algebraic or even transcendental systems”, Complex Var. Elliptic Equ., 64:1 (2019), 93–111
Alexander M. Kytmanov, Olga V. Khodos, “On some examples of systems of transcendent equations”, Zhurn. SFU. Ser. Matem. i fiz., 13:3 (2020), 285–296
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