approach used in special function iti0k0

Mark Bakker <[email protected]> Sun, 5 Jun 2022 10:05:25 -0400
Newsgroups gmane.comp.python.scientific.user
Message-ID <CAEX=yaYhGZLmPN2r0WmKPcnt++aGs8RRZ51K=cOkMjiYg0Bs-w@mail.gmail.com>
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I am searching for the approach/algorithm used to compute the special
function iti0k0. The docs only state that the integrals \int_0^x
I_0(t) dt and \int_0^x K_0(t) dt are computed, but I couldn't find a
link/reference to the algorithm/approach used to compute these.

Even iti0k0?? doesn't help.


Anybody know?


Thanks,


Mark

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<div dir=3D"ltr"><pre style=3D"box-sizing:unset;border:none;margin-top:0px;=
margin-bottom:0px;padding:0px;overflow:auto;word-break:break-all;word-wrap:=
break-word;white-space:pre-wrap">I am searching for the approach/algorithm =
used to compute the special function <span style=3D"font-family:Arial,Helve=
tica,sans-serif">iti0k0. The docs only state that the integrals </span><spa=
n style=3D"font-family:Arial,Helvetica,sans-serif">\int_0^x I_0(t) dt and <=
/span><span style=3D"font-family:Arial,Helvetica,sans-serif">\int_0^x K_0(t=
) dt are computed, but I couldn&#39;t find a link/reference to the algorith=
m/approach used to compute these.=C2=A0</span></pre><pre style=3D"box-sizin=
g:unset;border:none;margin-top:0px;margin-bottom:0px;padding:0px;overflow:a=
uto;word-break:break-all;word-wrap:break-word;white-space:pre-wrap"><span s=
tyle=3D"font-family:Arial,Helvetica,sans-serif">Even </span><span style=3D"=
font-family:Arial,Helvetica,sans-serif">iti0k0?? doesn&#39;t help.</span></=
pre><pre style=3D"box-sizing:unset;border:none;margin-top:0px;margin-bottom=
:0px;padding:0px;overflow:auto;word-break:break-all;word-wrap:break-word;wh=
ite-space:pre-wrap"><span style=3D"font-family:Arial,Helvetica,sans-serif">=
<br></span></pre><pre style=3D"box-sizing:unset;border:none;margin-top:0px;=
margin-bottom:0px;padding:0px;overflow:auto;word-break:break-all;word-wrap:=
break-word;white-space:pre-wrap"><span style=3D"font-family:Arial,Helvetica=
,sans-serif">Anybody know?</span></pre><pre style=3D"box-sizing:unset;borde=
r:none;margin-top:0px;margin-bottom:0px;padding:0px;overflow:auto;word-brea=
k:break-all;word-wrap:break-word;white-space:pre-wrap"><span style=3D"font-=
family:Arial,Helvetica,sans-serif"><br></span></pre><pre style=3D"box-sizin=
g:unset;border:none;margin-top:0px;margin-bottom:0px;padding:0px;overflow:a=
uto;word-break:break-all;word-wrap:break-word;white-space:pre-wrap"><span s=
tyle=3D"font-family:Arial,Helvetica,sans-serif">Thanks,</span></pre><pre st=
yle=3D"box-sizing:unset;border:none;margin-top:0px;margin-bottom:0px;paddin=
g:0px;overflow:auto;word-break:break-all;word-wrap:break-word;white-space:p=
re-wrap"><span style=3D"font-family:Arial,Helvetica,sans-serif"><br></span>=
</pre><pre style=3D"box-sizing:unset;border:none;margin-top:0px;margin-bott=
om:0px;padding:0px;overflow:auto;word-break:break-all;word-wrap:break-word;=
white-space:pre-wrap"><span style=3D"font-family:Arial,Helvetica,sans-serif=
">Mark</span></pre></div>

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