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## Main Question or Discussion Point

f(z)=1/(z^2-1)

Is this function analytical or not

Is this function analytical or not

- Thread starter tthivanka
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- #1

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f(z)=1/(z^2-1)

Is this function analytical or not

Is this function analytical or not

- #2

- 1,101

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It is analytic on the set {z | z =/= 1 and z =/= -1}, that is, it is analytic away from its poles.

- #3

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could u please show me how It is analytic on the set {z | z =/= 1 and z =/= -1}

- #4

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- #5

- 1,013

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A function that is complex differentiable on an open set is analytic on that set and its power series converges on the largest open disc that does not contain a singularity/pole. The singuarities of this function are at z = 1 and z = -1.could u please show me how It is analytic on the set {z | z =/= 1 and z =/= -1}

- #6

mathwonk

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