circular (version 0.4-93)

A1: Ratio of First and Zeroth Order Bessel Functions

Description

Evaluates the first and zeroth order Bessel functions of the first kind at a specified non-negative real number, and returns the ratio.

Usage

A1(kappa)

Arguments

kappa

non-negative numeric value at which to evaluate the Bessel functions.

Value

If I1(kappa) is the first order Bessel function and I0(kappa) is the zeroth order Bessel function, then A1(kappa) returns I1(kappa)/I0(kappa).

Details

The function uses besselI.

See Also

besselI, A1inv.