R: Second derivative of the Ratio of First and Zeroth Order...

A1SecondDerivative {circular} | R Documentation

## 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`.

[Package circular version 0.4-93 Index]