A1SecondDerivative {circular}

Second derivative of the Ratio of First and Zeroth Order Bessel Functions.

Description

Evaluates the second derivative of the second derivative of the Ratio of First and Zeroth Order Bessel Functions.

Usage

  A1SecondDerivative(kappa)

Arguments

kappa

non-negative numeric value at which to evaluate the second derivative of A1 function.

Details

Formula (3.49) of Fisher (1993), pag. 52 is implemented. The function uses A1, A1FirstDerivative and besselI.

Value

The value of the second derivative of A1 function in the point kappa.

Author(s)

Claudio Agostinelli and Alessandro Gagliardi.

References

N.I. Fisher (1993) Statistical Analysis of Circular Data, Cambridge University Press.

See Also

A1, A1FirstDerivative, besselI, A1inv.