Geodesic
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

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The aim of this paper is evaluation of power sums of roots for systems of non-algebraic equations containing from entire or meromorphic functions of finite order of growth. Power sums are connected with some residue integrals, that helps to obtain the sums some of multiple series.
Keywords: non-algebraic systems of equations, residue integral, power sums of roots. 
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     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},
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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/