?? besselj.m
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function [w,ierr] = besselj(nu,z,scale)
%BESSELJ Bessel function of the first kind.
% J = BESSELJ(NU,Z) is the Bessel function of the first kind, J_nu(Z).
% The order NU need not be an integer, but must be real.
% The argument Z can be complex. The result is real where Z is positive.
%
% If NU and Z are arrays of the same size, the result is also that size.
% If either input is a scalar, it is expanded to the other input's size.
% If one input is a row vector and the other is a column vector, the
% result is a two-dimensional table of function values.
%
% J = BESSELJ(NU,Z,0) is the same as BESSELJ(NU,Z).
%
% J = BESSELJ(NU,Z,1) scales J_nu(z) by exp(-abs(imag(z)))
%
% [J,IERR] = BESSELJ(NU,Z) also returns an array of error flags.
% ierr = 1 Illegal arguments.
% ierr = 2 Overflow. Return Inf.
% ierr = 3 Some loss of accuracy in argument reduction.
% ierr = 4 Complete loss of accuracy, z or nu too large.
% ierr = 5 No convergence. Return NaN.
%
% Examples:
%
% besselj(3:9,(0:.2:10)') generates the entire table on page 398
% of Abramowitz and Stegun, Handbook of Mathematical Functions.
%
% MEMBRANE uses BESSELJ to generate the fractional order Bessel
% functions used by the MathWorks Logo, the L-shaped membrane.
%
% This M-file uses a MEX interface to a Fortran library by D. E. Amos.
%
% Class support for inputs NU and Z:
% float: double, single
%
% See also BESSELY, BESSELI, BESSELK, BESSELH.
% Reference:
% D. E. Amos, "A subroutine package for Bessel functions of a complex
% argument and nonnegative order", Sandia National Laboratory Report,
% SAND85-1018, May, 1985.
%
% D. E. Amos, "A portable package for Bessel functions of a complex
% argument and nonnegative order", Trans. Math. Software, 1986.
%
% Copyright 1984-2005 The MathWorks, Inc.
% $Revision: 5.17.4.2 $ $Date: 2005/06/21 19:37:30 $
if nargin == 2, scale = 0; end
[msg,nu,z,siz] = besschk(nu,z); error(msg);
[w,ierr] = besselmx(double('J'),nu,z,scale);
% clean up w in case besselmx left an all-zero imaginary part
if ~isempty(w) && all(all(imag(w) == 0)), w = real(w); end
w = reshape(w,siz);
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