gp: besselj(nu,x) feature? (fwd)

[Karim BELABAS <Karim.Belabas@math.u-psud.fr>]

Salut,

  tu peux répondre à ce message ? [ et documenter les fonctions bessel* dans
usersch3.tex ? ]

Amitiés,

    Karim.
-- 
Karim Belabas                    Tel: (+33) (0)1 69 15 57 48
Dép. de Mathematiques, Bat. 425  Fax: (+33) (0)1 69 15 60 19
Université Paris-Sud             Email: Karim.Belabas@math.u-psud.fr
F-91405 Orsay (France)           http://www.math.u-psud.fr/~belabas/
--
PARI/GP Home Page: http://www.parigp-home.de/

---------- Forwarded message ----------
Date: Tue, 3 Sep 2002 18:24:17 -0400
From: Michael Somos <somos@grail.cba.csuohio.edu>
To: pari-dev@list.cr.yp.to
Subject: gp: besselj(nu,x) feature?

pari-dev

     I think there is a mismatch between the help message and the output:

? besselj(1,x+O(x^3))
%1 = 1 - 1/8*x^2 + O(x^3)
? besselj(2,x+O(x^3))
%2 = 1 - 1/12*x^2 + O(x^3)
? ?besselj
besselj(nu,x): J-bessel function of index nu and argument x.

? \v
          GP/PARI CALCULATOR Version 2.2.4 (development CHANGES-1.491)
                i686 running linux (ix86 kernel) 32-bit version
              (readline v4.2 enabled, extended help not available)

The J_1(x) needs the x/2 factor and J_2(x) needs the x^2/8 factor.
Perhaps this was not intended? Shalom, Michael