How to find primitive function?

  1. 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!
     
  2. jcsd
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