Category
page 1Gamma and related functions
factorial
{| class="wikitable" style="margin:0 0 0 1em; text-align:right; float:right;"
|+ Selected factorials; values in scientific notation are rounded
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! n
! n!
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| 0 || 1
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| 1 || 1
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| 2 || 2
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| 3 || 6
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| 4 || 24
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| 5 || 120
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| 6 || 720
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| 25
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| 50
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| 52
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| 70
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| 100
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gamma function
extension of the factorial function, with its argument shifted down by 1, to real and complex numbers
Stirling's approximation
approximation for factorials
beta function
mathematical function
gamma distribution
probability distribution
digamma function
logarithmic derivative of the gamma function
Bohr–Mollerup theorem
theorem in complex analysis
polygamma function
meromorphic function
Euler integral
incomplete gamma function
types of special mathematical functions
Trigamma function
mathematics term
falling and rising factorial
mathematical functions
Barnes G-function
mathematical function related to the gamma function
K-function
In mathematics, the -function, typically denoted K(z), is a generalization of the hyperfactorial to complex numbers, similar to the generalization of the factorial to the gamma function.
Elliptic gamma function
Elliptic analog of the gamma function
Fransén–Robinson constant
integral of 1/gamma(x) over the positive reals
reciprocal gamma function
mathematical function
inverse-gamma distribution
distribution of the reciprocal of a variable distributed according to the gamma distribution
Hölder's theorem
result on gamma function
q-gamma function
q-analog of the gamma function
multivariate gamma function
multivariate generalization of the gamma function
Hadamard's gamma function
extension of the factorial function different from the gamma function
multiplication theorem
theorem