Email this article Expansion of multiple series in infinite diagonals
- Authors: Korneev A.A1, Doroshkevich O.A1
-
Affiliations:
- Sholokhov Moscow State University for the Humanities
- Issue: Vol 17, No 4 (2013)
- Pages: 58-65
- Section: Articles
- URL: https://journal-vniispk.ru/1991-8615/article/view/20833
- DOI: https://doi.org/10.14498/vsgtu1243
- ID: 20833
Cite item
Full Text
Abstract
In this paper a method of summation of double absolutely convergent numerical series was obtained. This method was named the expansion of double numerical series in infinite diagonals. The form of the expansion for symmetric and skew-symmetric general term of double series was established. This expansion was generalized to the case of multiple series. It was called the expansion of multiple numerical series in infinite diagonals for two indices. The expansion of triple series in infinite diagonals for two indices was generalized to the case of three indices.
Full Text
##article.viewOnOriginalSite##About the authors
Anton A Korneev
Sholokhov Moscow State University for the Humanities
Email: korneevant@bk.ru
Student, Dept. of Mathematics & Physics 16–18, Verkhnyaya Radishchevskaya st., Moscow, 109240, Russia
Olga A Doroshkevich
Sholokhov Moscow State University for the Humanities
Email: odoroshkevich@bk.ru
(Ph.D. Phys. & Math.), Associate Professor, Dept. of Mathematics & Physics 16–18, Verkhnyaya Radishchevskaya st., Moscow, 109240, Russia
References
- Г. М. Фихтенгольц, Курс дифференциального и интегрального исчисления. Т. 2. СПб.: Лань, 2009. 800 с.
- Я. С. Бугров, С. М. Никольский, Дифференциальное и интегральное исчисление. Т. 2. М.: Дрофа, 2004. 512 с.
Supplementary files
