Тип публикации: статья из журнала
Год издания: 2024
Идентификатор DOI: 10.15393/j3.art.2024.16959
Ключевые слова: sum of double numerical series, resultant, entire function
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 theПоказать полностьюresultant. 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
Журнал: Проблемы анализа
Выпуск журнала: Т. 13, № 3
Номера страниц: 56-63
ISSN журнала: 23063424
Место издания: Петрозаводск
Издатель: Петрозаводский государственный университет