circular: A1FirstDerivative – R documentation

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A1FirstDerivative

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

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

A1FirstDerivative(kappa)

kappa

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

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

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

Claudio Agostinelli and Alessandro Gagliardi.

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