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Консультация № 186009
Обсуждение
11.05.2012, 23:08
общий
это ответ
Здравствуйте, lightcyber!
2)
Г(p)=[$8747$]0+[$8734$]tp-1e-tdt
Для натурального аргумента n значение Г(n)=(n-1)!
К гамма-функции интеграл сводится заменой t=ln(1/x) ---> x=e-t,dx=-e-tdt:
[$8747$]01ln4(1/x)dx=-[$8747$]+[$8734$]0t4e-tdt=[$8747$]0+[$8734$]t4e-tdt=Г(5)=4!=24
2)
Г(p)=[$8747$]0+[$8734$]tp-1e-tdt
Для натурального аргумента n значение Г(n)=(n-1)!
К гамма-функции интеграл сводится заменой t=ln(1/x) ---> x=e-t,dx=-e-tdt:
[$8747$]01ln4(1/x)dx=-[$8747$]+[$8734$]0t4e-tdt=[$8747$]0+[$8734$]t4e-tdt=Г(5)=4!=24
5
12.05.2012, 08:54
общий
это ответ
Здравствуйте, lightcyber!
Найдём оригинал изображения
с помощью вычетов.
Сначала найдём нули знаменателя дроби
являющиеся полюсами этой функции:
Для определения порядка полюсов функции разложим знаменатель на линейные множители:
Отсюда следует, что функция
имеет три особые точки, каждая из которых является полюсом первого порядка:
Найдём вычеты функции
в каждом из найденных полюсов:
Пользуясь теоремой о разложении, найдём искомый оригинал:
С уважением.
Найдём оригинал изображения
с помощью вычетов.Сначала найдём нули знаменателя дроби
являющиеся полюсами этой функции:Для определения порядка полюсов функции разложим знаменатель на линейные множители:
Отсюда следует, что функция
имеет три особые точки, каждая из которых является полюсом первого порядка:Найдём вычеты функции
в каждом из найденных полюсов:Пользуясь теоремой о разложении, найдём искомый оригинал:
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Неизвестный
12.05.2012, 22:37
общий
По первому заданию.
Считаю вычеты через производную. Вроде правильно...
Просто преподаватель требует чтобы в конце получилась действительная функция с переменной t, а у меня мнимая часть не уходит...
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