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Консультация № 69324
02.01.2007, 19:42
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Уважаемые Эксперты, пожалуйста помогите решить интеграл.
Интеграл по замкненому контуру L( L - круг радиуса R) от f(w)dw/(z - w)
Метод скорей всево асимптотическый. Буду очень благодарен.
Интеграл по замкненому контуру L( L - круг радиуса R) от f(w)dw/(z - w)
Метод скорей всево асимптотическый. Буду очень благодарен.
Обсуждение
Неизвестный
03.01.2007, 14:35
общий
это ответ
Здравствуйте, Slevin!
Насколько я понял, это комплексный случай, поэтому используем интегральную формулу Коши:
f(z) = 1/(2*pi*i) * интеграл f(w)dw/(w-z) по границе круга произвольного радиуса.
Если f(z) аналитична в этом круге, эта формула верна
Т.е. ответ: -2*pi*i*f(z).
Насколько я понял, это комплексный случай, поэтому используем интегральную формулу Коши:
f(z) = 1/(2*pi*i) * интеграл f(w)dw/(w-z) по границе круга произвольного радиуса.
Если f(z) аналитична в этом круге, эта формула верна
Т.е. ответ: -2*pi*i*f(z).
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