How to Integration this function?

Is there anyway we can integrate exp(z*(z+1)/(z-1)) with respect to z?

3 个评论

The function has a discontinuity at . From the plots below, the integral cannot converge in the interval
syms z
f = exp(z*(z + 1)/(z - 1));
subplot(121)
fplot(f, [-7, 1])
xlabel('z')
title('f(z < 1)')
ylim([0, 1.2])
subplot(122)
fplot(f, [1, 3])
xlabel('z')
title('f(z > 1)')
ylim([0, 5000])
Yes, I'm sorry I didn't mention earlier, I'm working in unit disk only, so |z|<1.
Torsten
Torsten 2026-2-13
编辑:Torsten 2026-2-13
If f is holomorphic in the disc |z|<=r<1, integral_{ |z|<=r } f(z) dz = pi*r^2*f(0). Then take the limit r -> 1-.

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此问题已关闭。

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R2024b

提问:

2026-2-13

关闭:

2026-2-13

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