Beir: Fundamental solution to the Kelvin differential equation (J)
In kelvin: Calculate Solutions to the Kelvin Differential Equation using Bessel Functions

Description Usage Arguments Details Value Author(s) References See Also Examples

This function calculates the complex solution to the Kelvin differential equation using modified Bessel functions of the first kind, specifically those produced by BesselJ.

Beir(x, ...)

## Default S3 method:
Beir(x, nu. = 0, nSeq. = 1, return.list = FALSE, ...)

Bei(...)

Ber(...)

`x`	numeric; values to evaluate the complex solution at
`...`	additional arguments passed to `BesselK` or `Beir`
`nu.`	numeric; value of ν in Bei,Ber solutions
`nSeq.`	positive integer; equivalent to `nSeq` in `BesselJ`
`return.list`	logical; Should the result be a list instead of matrix?

Ber and Bei are wrapper functions which return the real and imaginary components of Beir, respectively.

If return.list==FALSE (the default), a complex matrix with as many columns as using nSeq. creates. Otherwise the result is a list with matrices for Real and Imaginary components.

Andrew Barbour

http://mathworld.wolfram.com/KelvinFunctions.html

Imaginary: http://mathworld.wolfram.com/Bei.html

Real: http://mathworld.wolfram.com/Ber.html

kelvin-package, Keir, BesselJ

Beir(1:10)    # defaults to nu.=0
Beir(1:10, nu.=2)
Beir(1:10, nSeq.=2)
Beir(1:10, nSeq.=2, return.list=TRUE)
# Imaginary component only
Bei(1:10)
# Real component only
Ber(1:10)