(a) State the definition of an isolated singularity of a holomorphic function. (b) State the definition of a pole and the definition of the order of a pole. (c) State the definition of a meromorphic function.

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(a) State the definition of an isolated singularity of a holomorphic function.
(b) State the definition of a pole and the definition of the order of a pole.
(c) State the definition of a meromorphic function.
(d) Prove that the poles and zeros of a meromorphic function are isolated.
Transcribed Image Text:(a) State the definition of an isolated singularity of a holomorphic function. (b) State the definition of a pole and the definition of the order of a pole. (c) State the definition of a meromorphic function. (d) Prove that the poles and zeros of a meromorphic function are isolated.
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