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How to find primitive function? 
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#1
Jan1412, 07:48 AM

P: 50

Hello! I am having trouble understanding the whole primitive function thing in complex analysis.
How do I check if a certain function, say [itex] \frac {sin(z)} {z} [/tex] has a primitive, say in C/{0} ? What is the intuition? My intuition is that 0 is the only singularity, so if it is out of the picture, everything should be alright? (I saw that there is no primitive for it but don't understand how to determine...) How do I prove there is a primitive? After all, I can't calculate infinite number of integrals over closed laps... Thank you! 


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