Beir: Fundamental solution to the Kelvin differential equation (J)

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

View source: R/Beir.R

Description

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

Usage

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Beir(x, ...)

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

Bei(...)

Ber(...)

Arguments

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?

Details

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

Value

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.

Author(s)

Andrew Barbour

References

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

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

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

See Also

kelvin-package, Keir, BesselJ

Examples

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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)

kelvin documentation built on July 2, 2020, 2:37 a.m.