comparison scripts/specfun/bessel.m @ 9051:1bf0ce0930be

Grammar check TexInfo in all .m files Cleanup documentation sources to follow a few consistent rules. Spellcheck was NOT done. (but will be in another changeset)
author Rik <rdrider0-list@yahoo.com>
date Fri, 27 Mar 2009 22:31:03 -0700
parents eb63fbe60fab
children 16f53d29049f
comparison
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9044:656ad518f385 9051:1bf0ce0930be
24 ## @deftypefnx {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt}) 24 ## @deftypefnx {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})
25 ## Compute Bessel or Hankel functions of various kinds: 25 ## Compute Bessel or Hankel functions of various kinds:
26 ## 26 ##
27 ## @table @code 27 ## @table @code
28 ## @item besselj 28 ## @item besselj
29 ## Bessel functions of the first kind. If the argument @var{opt} is supplied, 29 ## Bessel functions of the first kind. If the argument @var{opt} is supplied,
30 ## the result is multiplied by @code{exp(-abs(imag(x)))}. 30 ## the result is multiplied by @code{exp(-abs(imag(x)))}.
31 ## @item bessely 31 ## @item bessely
32 ## Bessel functions of the second kind. If the argument @var{opt} is supplied, 32 ## Bessel functions of the second kind. If the argument @var{opt} is supplied,
33 ## the result is multiplied by @code{exp(-abs(imag(x)))}. 33 ## the result is multiplied by @code{exp(-abs(imag(x)))}.
34 ## @item besseli 34 ## @item besseli
35 ## Modified Bessel functions of the first kind. If the argument @var{opt} is supplied, 35 ## Modified Bessel functions of the first kind. If the argument @var{opt} is supplied,
36 ## the result is multiplied by @code{exp(-abs(real(x)))}. 36 ## the result is multiplied by @code{exp(-abs(real(x)))}.
37 ## @item besselk 37 ## @item besselk
38 ## Modified Bessel functions of the second kind. If the argument @var{opt} is supplied, 38 ## Modified Bessel functions of the second kind. If the argument @var{opt} is supplied,
39 ## the result is multiplied by @code{exp(x)}. 39 ## the result is multiplied by @code{exp(x)}.
40 ## @item besselh 40 ## @item besselh
41 ## Compute Hankel functions of the first (@var{k} = 1) or second (@var{k} 41 ## Compute Hankel functions of the first (@var{k} = 1) or second (@var{k}
42 ## = 2) kind. If the argument @var{opt} is supplied, the result is multiplied by 42 ## = 2) kind. If the argument @var{opt} is supplied, the result is multiplied by
43 ## @code{exp (-I*@var{x})} for @var{k} = 1 or @code{exp (I*@var{x})} for 43 ## @code{exp (-I*@var{x})} for @var{k} = 1 or @code{exp (I*@var{x})} for
44 ## @var{k} = 2. 44 ## @var{k} = 2.
45 ## @end table 45 ## @end table
46 ## 46 ##
47 ## If @var{alpha} is a scalar, the result is the same size as @var{x}. 47 ## If @var{alpha} is a scalar, the result is the same size as @var{x}.
49 ## If @var{alpha} is a row vector and @var{x} is a column vector, the 49 ## If @var{alpha} is a row vector and @var{x} is a column vector, the
50 ## result is a matrix with @code{length (@var{x})} rows and 50 ## result is a matrix with @code{length (@var{x})} rows and
51 ## @code{length (@var{alpha})} columns. Otherwise, @var{alpha} and 51 ## @code{length (@var{alpha})} columns. Otherwise, @var{alpha} and
52 ## @var{x} must conform and the result will be the same size. 52 ## @var{x} must conform and the result will be the same size.
53 ## 53 ##
54 ## The value of @var{alpha} must be real. The value of @var{x} may be 54 ## The value of @var{alpha} must be real. The value of @var{x} may be
55 ## complex. 55 ## complex.
56 ## 56 ##
57 ## If requested, @var{ierr} contains the following status information 57 ## If requested, @var{ierr} contains the following status information
58 ## and is the same size as the result. 58 ## and is the same size as the result.
59 ## 59 ##