Applications of Cauchy’s Integral Formula

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 103)


In the present chapter we show how a holomorphic function and the derivative of a holomorphic function can be expressed as an integral in terms of the function. We then give applications of this, getting the expansion of a holomorphic function into a power series, and studying the possible singularities which may arise when a function is analytic near a point, but may not be holomorphic at the point itself.


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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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