Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2021

Идентификатор DOI: 10.17516/1997-1397-2021-14-3-326-343

Ключевые слова: transcendental systems of equations, power sums of roots, residue integral

Аннотация: Several types of transcendental systems of equations are considered: the simplest ones, special, and general. Since the number of roots of such systems, as a rule, is infinite, it is necessary to study power sums of the roots of negative degree. Formulas for finding residue integrals, their relation to power sums of a negative degree of roots and their relation to residue integrals (multidimensional analogs of Waring's formulas) are obtained. Various examples of transcendental systems of equations and calculation of multidimensional numerical series are given.

Журнал: JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS

Выпуск журнала: Vol. 14, Is. 3

Номера страниц: 326-343

ISSN журнала: 19971397

Место издания: KRASNOYARSK

Издатель: SIBERIAN FEDERAL UNIV

• Kytmanov Alexander M. (Siberian Fed Univ, Krasnoyarsk, Russia)
• Khodos Olga (Siberian Fed Univ, Krasnoyarsk, Russia)

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