annotate scripts/specfun/bessel.m @ 3321:6923abb04e16

[project @ 1999-10-26 18:15:30 by jwe]
author jwe
date Tue, 26 Oct 1999 18:15:41 +0000
parents edf6e4852287
children f8dde1807dee
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
3276
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
1 ## Copyright (C) 1996, 1997 John W. Eaton
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
2 ##
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
3 ## This file is part of Octave.
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
4 ##
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
6 ## under the terms of the GNU General Public License as published by
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
7 ## the Free Software Foundation; either version 2, or (at your option)
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
8 ## any later version.
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
9 ##
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
10 ## Octave is distributed in the hope that it will be useful, but
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
13 ## General Public License for more details.
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
14 ##
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
15 ## You should have received a copy of the GNU General Public License
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
16 ## along with Octave; see the file COPYING. If not, write to the Free
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
17 ## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
18 ## 02111-1307, USA.
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
19
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
20 ## -*- texinfo -*-
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
21 ## @deftypefn {Mapping Function} {} besseli (@var{alpha}, @var{x})
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
22 ## @deftypefnx {Mapping Function} {} besselj (@var{alpha}, @var{x})
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
23 ## @deftypefnx {Mapping Function} {} besselk (@var{alpha}, @var{x})
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
24 ## @deftypefnx {Mapping Function} {} bessely (@var{alpha}, @var{x})
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
25 ## Compute Bessel functions of the following types:
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
26 ##
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
27 ## @table @code
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
28 ## @item besselj
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
29 ## Bessel functions of the first kind.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
30 ##
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
31 ## @item bessely
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
32 ## Bessel functions of the second kind.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
33 ##
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
34 ## @item besseli
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
35 ## Modified Bessel functions of the first kind.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
36 ##
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
37 ## @item besselk
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
38 ## Modified Bessel functions of the second kind.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
39 ## @end table
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
40 ##
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
41 ## The second argument, @var{x}, must be a real matrix, vector, or scalar.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
42 ##
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
43 ## The first argument, @var{alpha}, must be greater than or equal to zero.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
44 ## If @var{alpha} is a range, it must have an increment equal to one.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
45 ##
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
46 ## If @var{alpha} is a scalar, the result is the same size as @var{x}.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
47 ##
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
48 ## If @var{alpha} is a range, @var{x} must be a vector or scalar, and the
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
49 ## result is a matrix with @code{length(@var{x})} rows and
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
50 ## @code{length(@var{alpha})} columns.
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
51 ## @end deftypefn
3276
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
52
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
53 function bessel ()
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
54 error ("bessel: you must use besselj, bessely, besseli, or besselk");
edf6e4852287 [project @ 1999-10-12 05:49:45 by jwe]
jwe
parents:
diff changeset
55 endfunction
3321
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
jwe
parents: 3276
diff changeset
56