두개가 같은 의미인가요? <div>holomorphic=analytic</div><div>정리를 증명하는데 함수 f:C->C be holomorphic 이라는 거 이용하는데요~</div><div>제가 보았을땐 analytic 조건을 사용해서 증명하는 것 같아서요...</div><div>두개가 같은 의미가 맡나요? </div><div>다르다면 차이점이 무엇인가요?</div>
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첫댓글The term analytic function is often used interchangeably with “holomorphic function”, although the word “analytic” is also used in a broader sense to describe any function (real, complex, or of more general type) that can be written as a convergent power series in a neighborhood of each point in its domain. The fact that the class of complex analytic functions coincides with the class of holomorphic functions is a major theorem in complex analysis. - Holomorphic function, Wikipedia.org(Eng) (link:http://en.wikipedia.org/wiki/Holomorphic_function)
첫댓글 The term analytic function is often used interchangeably with “holomorphic function”, although the word “analytic” is also used in a broader sense to describe any function (real, complex, or of more general type) that can be written as a convergent power series in a neighborhood of each point in its domain. The fact that the class of complex analytic functions coincides with the class of holomorphic functions is a major theorem in complex analysis. - Holomorphic function, Wikipedia.org(Eng) (link:http://en.wikipedia.org/wiki/Holomorphic_function)