bessel_h

Computes the Hankel function (Bessel function of the third kind) for real or complex inputs.

Exports an 'Rcpp' interface for the Bessel functions in the 'Bessel' package, which can then be called from the 'C++' code of other packages. For the original 'Fortran' implementation of these functions see Amos (1995) <doi:10.1145/212066.212078>.

Alexios Ghalanos

RcppBessel

Bessel Functions Rcpp Interface

Alexios Galanos

Martin Maechler

Donald E. Amos

bessel_h function

<dl><dt>m</dt>
<dd>An integer representing the type of Hankel function. It must be either <code>1</code> (for the first kind) or <code>2</code> (for the second kind).</dd>
<dt>z</dt>
<dd>A numeric or complex vector representing the input values at which to evaluate the Hankel function.</dd>
<dt>nu</dt>
<dd>A double representing the order of the Hankel function.</dd>
<dt>expon_scaled</dt>
<dd>A logical value indicating whether to use the exponentially scaled form of the Hankel function. Defaults to <code>FALSE</code>.</dd>
<dt>verbose</dt>
<dd>An integer specifying the verbosity level for error messages. Defaults to <code>0</code>.</dd></dl>

Arguments

The BesselH Function — bessel_h

<dl>

<dt>m</dt>
<dd>An integer representing the type of Hankel function. It must be either <code>1</code> (for the first kind) or <code>2</code> (for the second kind).</dd>


<dt>z</dt>
<dd>A numeric or complex vector representing the input values at which to evaluate the Hankel function.</dd>


<dt>nu</dt>
<dd>A double representing the order of the Hankel function.</dd>


<dt>expon_scaled</dt>
<dd>A logical value indicating whether to use the exponentially scaled form of the Hankel function. Defaults to <code>FALSE</code>.</dd>


<dt>verbose</dt>
<dd>An integer specifying the verbosity level for error messages. Defaults to <code>0</code>.</dd>

</dl>

bessel_h: The BesselH Function

Description

Usage

Value

Arguments

References