A1FirstDerivative {circular}

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

Description

Evaluates the first derivative of the Ratio of First and Zeroth Order Bessel Functions

Usage

  A1FirstDerivative(kappa)

Arguments

kappa

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

Details

The formula (3.48) of Fisher (1993), pag. 52 is implemented. The function uses A1 and besselI.

Value

The value of the first 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, besselI, A1inv.