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sphbesseljd.m
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sphbesseljd.m
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% Derivative of spherical Bessel function
%
% J = sphbesseljd(n,x) computes the derivative of the spherical Bessel
% function of order n at points x. Here n or x may be vectors.
%
% See Abramowitz and Stegun, Handbook of Mathematical Functions,
% Section 10.1.21.
%
% See also: sphbesselh, sphbesselj, sphbesselhd.
%
% Stuart C. Hawkins - 20 April 2021
% Copyright 2019-2022 Stuart C. Hawkins
%
% This file is part of TMATROM3
%
% TMATROM3 is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% TMATROM3 is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with TMATROM3. If not, see <http://www.gnu.org/licenses/>.
function val=sphbesseljd(n,x)
val = sphbesselj(n-1,x) - (n+1).*sphbesselj(n,x)./x;