How can I plot the graph for this function?

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Gufran Malik
Gufran Malik 2022-6-7
编辑： Torsten 2022-8-21
f(x)=symsum(2^(-m*x)*(gamma(m*x+j-1+1)/gamma(m*x-1+1))*h(j/m),j.0.Inf)
where h(j/m)=(j/m)^2+1, m=100.
Please help me out.
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Dyuman Joshi
Dyuman Joshi 2022-6-11
It worked on my pc without any errors, but it took an eternity to run :')
(i3-5th gen, 8 gb ddr3 ram)

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Torsten
Torsten 2022-6-12
编辑：Torsten 2022-6-12
Ran in:
m = 100;
h = @(x) x.^2+1;
x = 0:0.01:10.0;
tol = 1e-16;
for i = 1:numel(x)
Lm(i) = fun_Lm(m,h,x(i),tol);
end
plot(x,Lm)
function value = fun_Lm(m,h,x,tol)
value = 0.0;
error = Inf;
j = 0;
summand = 1.0;
while error > tol
value = value + summand;
error = abs(summand);
summand = summand * (m*x+j) * 1/2 * 1/(j+1) * h((j+1)/m)/h(j/m);
j = j + 1;
end
value = value/2^(m*x) ;
end

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Gufran Malik
Gufran Malik 2022-8-17
How can we plot this function? @Torsten Please help me with this
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