$$∫_{(|z|=1)}z^{e^{z}/100}dz$$ Let $z＝e^{i\theta}$，then it becomes
$$i∫_{-\pi}^{\pi}(e^{i\theta})^{\frac{e^{e^{i\theta}}}{100}}e^{i\theta}d\theta$$ But I don't know how to calculate it. Hope for your help. Thanks.
A question about an integral of complex variable function
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complex-analysis
complex-integration
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0The integral is closed, and is analytic everywhere inside the closed area. By Cauchy-Goursat the integral is zero. – 2017-01-06
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0Is it analytic at $0$ – 2017-01-06
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0I assumed it was. I don't know how else this could be solved if it were not. – 2017-01-06