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\name{A1SecondDerivative}
\title{Second derivative of the Ratio of First and Zeroth Order Bessel Functions.}
\alias{A1SecondDerivative}
\description{Evaluates the second derivative of the second derivative of the Ratio of First and Zeroth Order Bessel Functions.}
\usage{
A1SecondDerivative(kappa)
}
\arguments{
\item{kappa}{non-negative numeric value at which to evaluate the second derivative of A1 function.}
}
\value{
The value of the second derivative of A1 function in the point \code{kappa}.
}
\details{
Formula (3.49) of Fisher (1993), pag. 52 is implemented.
The function uses \code{\link{A1}}, \code{\link{A1FirstDerivative}} and \code{\link{besselI}}.
}
\author{Claudio Agostinelli and Alessandro Gagliardi.}
\references{
N.I. Fisher (1993) Statistical Analysis of Circular Data, Cambridge University Press.
}
\seealso{
\code{\link{A1}}, \code{\link{A1FirstDerivative}}, \code{\link{besselI}}, \code{\link{A1inv}}.
}
\keyword{math}
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