Difference between revisions of "Manuals/calci/GAMMAFUNCTION"

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==gamma==
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<div style="font-size:30px">'''GAMMAFUNCTION (z)'''</div><br/>
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*<math>z</math> is any positive real number.
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==Description==
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*This function gives the value of the Gamma function.
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*The Gamma function is defined to be an extension of the factorial to complex and real number arguments.
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*That is, if n is a positive integer:
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<math>\Gamma (n)=(n-1)!</math>
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*Gamma function is defined for all complex numbers except the non-positive integers.
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*For complex numbers with a positive real part, it is defined via a convergent improper integral:

Revision as of 14:49, 28 November 2016

GAMMAFUNCTION (z)


  • is any positive real number.

Description

  • This function gives the value of the Gamma function.
  • The Gamma function is defined to be an extension of the factorial to complex and real number arguments.
  • That is, if n is a positive integer:

  • Gamma function is defined for all complex numbers except the non-positive integers.
  • For complex numbers with a positive real part, it is defined via a convergent improper integral: