Logarithm of the Pochhammer symbol

man/lnpochhammer.Rd

+% Generated by roxygen2: do not edit by hand
+% Please edit documentation in R/lnpochhammer.R
+\name{lnpochhammer}
+\alias{lnpochhammer}
+\title{Logarithm of the Pochhammer Symbol}
+\usage{
+lnpochhammer(x, n)
+}
+\arguments{
+\item{x}{numeric.}
+
+\item{n}{positive integer.}
+}
+\value{
+Numeric value. The logarithm of the Pochhammer symbol.
+}
+\description{
+Computes the logarithm of the Pochhammer symbol.
+}
+\details{
+The Pochhammer symbol is given by:
+\deqn{ \displaystyle{ (x)_n = \frac{\Gamma(x+n)}{\Gamma(x)} = x (x+1) ... (x+n-1) } }
+So:
+\deqn{ \displaystyle{ log\left((x)_n\right) = log(x) + log(x+1) + ... + log(x+n-1) } }
+}
+\examples{
+lnpochhammer(2, 0)
+lnpochhammer(2, 1)
+lnpochhammer(2, 3)
+
+}
+\seealso{
+\code{\link[=pochhammer]{pochhammer()}}
+}
+\author{
+Pierre Santagostini, Nizar Bouhlel
+}