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could you please help me solving this integral:

[itex]\oint \frac{e^{-(a+b)+az+\frac{b}{z}}}{z(z-1)}dz[/itex]

over the unit circle, where [itex] a, b[/itex] are two positive constants (it is not a homework)

thanks a lot in advance

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# Help me solving this complex integral

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