
This article is cited in 3 scientific papers (total in 3 papers)
On some systems of nonalgebraic equations in $\mathbb C^n$
Olga V. Khodos^{} ^{} Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Abstract:
A method of finding residue integrals for systems of nonalgebraic 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 nonalgebraic equations. It is shown that obtained results can be used for investigation some model of chemical kinetics.
Keywords:
nonalgebraic systems of equations, residue integral, power sums.
Full text:
PDF file (190 kB)
References:
PDF file
HTML file
UDC:
517.55 Received: 06.05.2014 Received in revised form: 09.06.2014 Accepted: 11.08.2014
Language:
Citation:
Olga V. Khodos, “On some systems of nonalgebraic equations in $\mathbb C^n$”, J. Sib. Fed. Univ. Math. Phys., 7:4 (2014), 455–465
Citation in format AMSBIB
\Bibitem{Kho14}
\by Olga~V.~Khodos
\paper On some systems of nonalgebraic equations in $\mathbb C^n$
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 4
\pages 455465
\mathnet{http://mi.mathnet.ru/jsfu391}
Linking options:
http://mi.mathnet.ru/eng/jsfu391 http://mi.mathnet.ru/eng/jsfu/v7/i4/p455
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:

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

Number of views: 
This page:  127  Full text:  45  References:  20 
