Difference between revisions of "GammaFn"

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= GammaFn(x) =
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The complete gamma function.
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One way to think of the gamma function is as a generalization of the [[Factorial]] function.  Whereas, the factorial function has a range over the whole numbers, the Gamma function has a range over positive real numbers.  The relationship between the gamma function and factorial is:
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n! = GammaFn(n+1)
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The gamma function grows very quickly, resulting in a numeric overflow when x>171.  The [[LGamma]] function computes the natural logarithm of the gamma function, and therefore can be used over much wider ranges. 
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= Library =
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Advanced Math
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= See Also =
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* [[LGamma]] : Natural log of the gamma function.
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* [[GammaI]] : The incomplete gamma function.
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* [[Gamma]] : The gamma distribution
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* [[BetaFn]] : The complete beta function

Revision as of 19:00, 18 May 2007


GammaFn(x)

The complete gamma function.

One way to think of the gamma function is as a generalization of the Factorial function. Whereas, the factorial function has a range over the whole numbers, the Gamma function has a range over positive real numbers. The relationship between the gamma function and factorial is:

n! = GammaFn(n+1)

The gamma function grows very quickly, resulting in a numeric overflow when x>171. The LGamma function computes the natural logarithm of the gamma function, and therefore can be used over much wider ranges.

Library

Advanced Math

See Also

  • LGamma : Natural log of the gamma function.
  • GammaI : The incomplete gamma function.
  • Gamma : The gamma distribution
  • BetaFn : The complete beta function
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