lnpochhammer: Logarithm of the Pochhammer Symbol

In multvardiv: Multivariate Probability Distributions, Statistical Divergence

Logarithm of the Pochhammer Symbol

Description

Computes the logarithm of the Pochhammer symbol.

Usage

lnpochhammer(x, n)

Arguments

x	numeric.
n	positive integer.

Details

The Pochhammer symbol is given by:

\displaystyle{ (x)_n = \frac{\Gamma(x+n)}{\Gamma(x)} = x (x+1) ... (x+n-1) }

So, if n > 0:

\displaystyle{ log\left((x)_n\right) = log(x) + log(x+1) + ... + log(x+n-1) }

If n = 0, \displaystyle{ log\left((x)_n\right) = log(1) = 0}

Value

Numeric value. The logarithm of the Pochhammer symbol.

Author(s)

Pierre Santagostini, Nizar Bouhlel

See Also

pochhammer, lauricella

Examples

lnpochhammer(2, 0)
lnpochhammer(2, 1)
lnpochhammer(2, 3)

multvardiv documentation built on April 3, 2025, 6:08 p.m.