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2023-11-14 17:10:27 +08:00
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FOTF Toolbox/mittag_leffler.m Normal file
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function f=mittag_leffler(v,z)
% mittag_leffler - symbolic computation of Mittag-Leffler functions
%
% f=mittag_leffler(alpha,z)
% f=mittag_leffler([alpha,beta],z)
% f=mittag_leffler([alpha,beta,gam],z)
% f=mittag_leffler([alpha,beta,gam,q],z)
%
% alpha, beta - the parameters for Mittag-Leffler functions
% z - the independent variable
% f - the Mittag-Leffler function. MATLAB R2008a or earler are recommended
% Copyright (c) Dingyu Xue, Northeastern University, China
% Last modified 28 March, 2017
% Last modified 18 May, 2022
arguments, v(1,:), z(1,1); end
v=sym([v,1,1,1]); a=v(1); b=v(2); c=v(3); q=v(4); syms k;
f=symsum(pochhammer(c,k*q)*z^k/gamma(a*k+b)/gamma(k+1),k,0,inf);
end