@article{VNGU_2014_14_3_a5,
author = {A. M. Kytmanov and E. K. Myshkina},
title = {On the {Power} {Sums} of {Roots} for {Systems} of the {Entire} {Functions} of {Finite} {Order} of {Growth}},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {62--82},
year = {2014},
volume = {14},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a5/}
}
TY - JOUR AU - A. M. Kytmanov AU - E. K. Myshkina TI - On the Power Sums of Roots for Systems of the Entire Functions of Finite Order of Growth JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2014 SP - 62 EP - 82 VL - 14 IS - 3 UR - http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a5/ LA - ru ID - VNGU_2014_14_3_a5 ER -
%0 Journal Article %A A. M. Kytmanov %A E. K. Myshkina %T On the Power Sums of Roots for Systems of the Entire Functions of Finite Order of Growth %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2014 %P 62-82 %V 14 %N 3 %U http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a5/ %G ru %F VNGU_2014_14_3_a5
A. M. Kytmanov; E. K. Myshkina. On the Power Sums of Roots for Systems of the Entire Functions of Finite Order of Growth. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 62-82. http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a5/
[1] L. A. Aizenberg, “On a formula of the generalized multidimensional logarithmic residue and the solution of system of nonlinear equations”, Sov. Math. Doc., 18 (1977), 691–695
[2] L. A. Aizenberg, A. P. Yuzhakov, Integral Representations and Residues in Multidimensional Complex Analysis, Trans. Amer. Math. Monographs, AMS, Providence, 1983
[3] V. Bykov, A. Kytmanov, M. Lazman, Elimination Methods in Polynomial Computer Algebra, Math. and Appl., 448, Kluwer Acad. Publ., Dordrecht–Boston–London, 1998
[4] V. I. Bykov, A. M. Kytmanov, S. G. Myslivets, “Power sums of nonlinear systems of equations”, Docl. Math., 76:2 (2007), 641–645
[5] A. M. Kytmanov, Z. E. Potapova
[6] Russian Math. (Iz. VUZ), 49:8 (2005), 36–45
[7] A. A. Kytmanov, “An algorithm for calculating power sums of roots for a class of systems of nonlinear equations”, Programming and Computersoftware, 36:2 (2010), 103–110 | DOI
[8] Titchmarsh E. C., The Theory of Functions, Oxford University Press, Oxford, 1939
[9] A. M. Kytmanov, E. K. Myshkina, “Evaluation of power sums of roots for systems of non-algebraic equations in $\mathbb{C}^n$”, Russian Mathematics, 57:12 (2013), 31–43 | DOI
[10] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integrals and series, v. 1, Elementary functions, Gordon Breach Science Publishers, New York, 1986