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Jonask

  • 3 years ago

Factorial integral

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  1. electrokid
    • 3 years ago
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    what variable are you integrating with respect to?

  2. Jonask
    • 3 years ago
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    sry \[\int t ! dt\]

  3. electrokid
    • 3 years ago
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    ok. then, \(t!\) is not a continuous function. it is a discrete function. unless you re-dinfe it as a gamma function

  4. Jonask
    • 3 years ago
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    gamma???

  5. electrokid
    • 3 years ago
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    for a continuous variable t, \(t!=\Gamma(t+1)\)

  6. Jonask
    • 3 years ago
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    i just started wih this gamma business not looking nice

  7. Jonask
    • 3 years ago
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    oh thanks

  8. electrokid
    • 3 years ago
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    if that is the definition you want to use, then \[I=\int\Gamma(t+1)dt\]

  9. electrokid
    • 3 years ago
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    then\[I=\int\left[\int_0^\infty x^{t}e^{-x}dx\right]dt\]

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