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Estimation of the Remainder Term of the Lauricella Series F_D^(N)статья
- Авторы: Дунин-Барковская О.В., Безродных С.И.
- Журнал: Mathematical Notes
- Том: 116
- Номер: 5
- Год издания: 2024
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 905
- Последняя страница: 919
- DOI: 10.1134/S0001434624110038
- Аннотация: In this paper, new formulas are obtained for estimating the remainder term arising in the summation of the Lauricella hypergeometric series F_D^(N) . Such formulas allow one to effectively estimate the remainder of the summation when calculating the value of the function F_D^(N) in a unit polydisk and have applications to calculating Euler-type integrals and certain solutions of systems of differential equations that the Lauricella function atisfies. The results can be applied to problems in mathematical physics and function theory where the Lauricella function arises, including those which are needed for alculations of conformal mappings of polygons.
- Добавил в систему: Дунин-Барковская Ольга Владимировна