In mathematics, more specifically complex analysis, the residue is a complex number proportional to the contour integral of a meromorphic function along a ... |
The residues of a holomorphic function at its poles characterize a great deal of the structure of a function, appearing for example in the amazing residue ... |
2 мая 2023 г. · In this section we'll explore calculating residues. We've seen enough already to know that this will be useful. We will see that even more ... |
| Вычет Комплексный анализ |  |
Вы́чет в комплексном анализе — объект, характеризующий локальные свойства заданной функции или формы.
Теория вычетов функций одного комплексного переменного была в основном разработана Коши в 1825—1829 годы. Кроме него, важные результаты были... Википедия
In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions ... |
Residue theory is a powerful tool in complex analysis for evaluating integrals and understanding function behavior around singularities. |
Conversely, if the limit exists then either the pole is simple, or is analytic at 0. In both cases the limit equals the residue. |
16 нояб. 2018 г. · Yes, it is. The residue of the Laurent series of a function in an annulus is the coefficient c−1 of this series, that is what is left after integration. |
Videolar 17 сент. 2024 г. · This page is about residue in the context of Complex Analysis. For other uses, see residue. Definition. Let f:C→C be a complex function. |
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