besselarray bug, was: Bessel plotting problem



I can't wait until this site is finished.  http://dlmf.nist.gov/  I have been browsing through it and it is an awesome update to Abramowitz and Stegun.  I think Wikipedia said this is due to be finished by the end of this year.

Of course there is the scanned version too.  The section(s) on asymptotic forms are very interesting to me.

Rich




 ------------Original Message------------
From: "Richard Hennessy"<rvh2007 at comcast.net>
To: "Alexey Beshenov" <al at beshenov.ru>, maxima at math.utexas.edu
Date: Sat, Jun-14-2008 7:41 AM
Subject: Re: [Maxima] besselarray bug, was: Bessel plotting problem

Actually I have looked at that, but it is hard to read.  I should probably go through it and make a Maxima equation or function out of every formula in the book or at least the important ones to me.  That would help me to remember them.

I have been up all night again.  Bye.

Rich


 ------------Original Message------------
From: Alexey Beshenov <al at beshenov.ru>
To: maxima at math.utexas.edu
Cc: "Richard Hennessy" <rvh2007 at comcast.net>
Date: Sat, Jun-14-2008 7:12 AM
Subject: Re: [Maxima] besselarray bug, was: Bessel plotting problem

On 14 June 2008 03:51, Richard Hennessy wrote:
> Maybe I am just showing off but I think from empirically looking at the
> data for bessel_j for negative argument and positive fractional order that
> there really is a relationship for bessel_j(v, -x) = cos(n*%pi/something) *
> bessel_j(v, x) (or something similar).  I don't know about bessel_y since I
> haven't looked at that yet.

You might want to check the handbook of mathematical functions
by Abramowitz and Stegun.

-- 
Alexey Beshenov <al at beshenov.ru>
http://beshenov.ru/

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