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Finding residue integrals for systems of non-algebraic equations in C-n

Описание

Тип публикации: статья из журнала

Год издания: 2015

Идентификатор DOI: 10.1016/j.jsc.2014.01.007

Ключевые слова: Non-algebraic systems of equations, Residue integral

Аннотация: A method and the corresponding algorithm of finding residue integrals for systems of non-algebraic equations containing analytic functions are presented. Such integrals are connected to the power sums of roots for a certain system of equations. The described approach can be used for developing methods for the elimination of unknownПоказать полностьюs from systems of non-algebraic equations. It is shown how the obtained results can be used for calculating sums of multidimensional series. (C) 2014 Elsevier Ltd. All rights reserved.

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Издание

Журнал: JOURNAL OF SYMBOLIC COMPUTATION

Выпуск журнала: Vol. 66

Номера страниц: 98-110

ISSN журнала: 07477171

Место издания: LONDON

Издатель: ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD

Персоны

  • Kytmanov A.A. (Siberian Fed Univ, Inst Space & Informat Technol, Krasnoyarsk 660074, Russia)
  • Kytmanov A.M. (Siberian Fed Univ, Inst Math & Comp Sci, Krasnoyarsk 660041, Russia)
  • Myshkina E.K. (Siberian Fed Univ, Inst Math & Comp Sci, Krasnoyarsk 660041, Russia)

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