Hi and how are you.

How I can use the notion of germs to prove that:

If the analtyic serie f(z) =sum an(z) is identically zero in the strip: 0<Re(z)<1, then an(z) is also zero for all n. Here an(z) is the general term of the serie f(z).

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- Aug 27th 2012, 11:44 AMzeraouliaNew Post
Hi and how are you.

How I can use the notion of germs to prove that:

If the analtyic serie f(z) =sum an(z) is identically zero in the strip: 0<Re(z)<1, then an(z) is also zero for all n. Here an(z) is the general term of the serie f(z).