19 lines
719 B
Matlab
19 lines
719 B
Matlab
function f=mittag_leffler(v,z)
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% mittag_leffler - symbolic computation of Mittag-Leffler functions
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%
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% f=mittag_leffler(alpha,z)
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% f=mittag_leffler([alpha,beta],z)
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% f=mittag_leffler([alpha,beta,gam],z)
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% f=mittag_leffler([alpha,beta,gam,q],z)
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%
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% alpha, beta - the parameters for Mittag-Leffler functions
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% z - the independent variable
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% f - the Mittag-Leffler function. MATLAB R2008a or earler are recommended
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% Copyright (c) Dingyu Xue, Northeastern University, China
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% Last modified 28 March, 2017
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% Last modified 18 May, 2022
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arguments, v(1,:), z(1,1); end
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v=sym([v,1,1,1]); a=v(1); b=v(2); c=v(3); q=v(4); syms k;
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f=symsum(pochhammer(c,k*q)*z^k/gamma(a*k+b)/gamma(k+1),k,0,inf);
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end |