lnpochhammer {mggd}

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()

Examples

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