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ON CALCULATING SUMSOF SOME DOUBLE SERIES Kuzovatov V. I.Bushkova A. S.2024 год

ON CALCULATING SUMS OF SOME DOUBLE SERIES
статья из журнала

Дополнительные ссылки: eLibrary
База данных: Каталог библиотеки СФУ
Библиографическое описание: ON CALCULATING SUMS OF SOME DOUBLE SERIES : научное издание / V. I. Kuzovatov, A. S. Bushkova. - Текст : непосредственный // Проблемы анализа. - 2024. - Т. 13, № 3. - P. 56-63. - The study of the first author was funded by RSF, project number 24-21-00023. - ISSN 2306-3424. - ISSN 2306-3432, DOI 10.15393/j3.art.2024.16959.
Аннотация: We consider systems of two equations consisting of a polynomial and an entire function. By calculating the resultant of the polynomial and the entire function in two different ways, we can obtain a relation for double numerical series. The formula of A. M. Kytmanov and E. K. Myshkina was used as the first method for calculating the resultant. For the second method, we chose the formula for product of values of one function in the roots of another. A family of sums of some types of double numerical series absent in known references was found. We also demonstrate an approach to finding sums of lower dimension (one-dimensional sums) that arise when calculating the resultant of the original system of functions
Год издания: 2024
Авторы: Kuzovatov V. I. , Bushkova A. S.
Издательство: Петрозаводский государственный университет, Петрозаводск
Источник: Проблемы анализа
Выпуск: Т. 13, № 3
Номера страниц: 56-63
Держатель оригинала документа: Siberian Federal University
Количество экземпляров:
Твёрдая копия издания отсутствует в фонде библиотеки

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