Difference between revisions of "GammaFn"
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− | + | = GammaFn(x) = | |
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+ | 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 |
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
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