Description Usage Arguments Details Value Note Author(s) See Also Examples
Special matematical functions related to the multivariate gamma function which appears in the Wishart and Inverse Wishart distributions. The interface and usage should mirror the Special mathematical functions from the base package.
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x |
A numeric vector of values. The values of |
p |
A (single) integer giving the dimension. Default is |
deriv |
A (single) integer giving the order of the derivative.
Default is |
Warnings are thown when the functions are evaluated outside its domain.
Run Bmisc:::plotMultivariateSpecial()
for more info.
Returns a numeric vector with the same length as x
.
Similar to gamma
and related functions NaN
s are
returned with warning when the function is evaluated outside its domain
gammap
is the multivariate gamma function.
digammap
is the multivariate digamma function.
Dgammap
is the derivative of the multivariate gamma function.
psigammap
is the n'th derivative log multivariate
gamma function (i.e. multivariate polygamma).
trigammap
is the 2'nd derivative log multivariate
gamma function (i.e. the multivariate trigamma).
lgammap
is the log multivariate gamma function.
For lgammp
, warnings of the type "value out of range in
'lgamma'"
is due to evaluation in the half integers below (p-1)/2.
Anders Ellern Bilgrau <anders.ellern.bilgrau (at) gmail.com>
The Special mathematical functions.
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