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The Residue Theorem

In: Lectures on Complex Analysis

Author

Listed:
  • Norbert Steinmetz

    (TU Dortmund, Department of Mathematics)

Abstract

The results obtained thus far have been, for the most part, corollaries of Cauchy’s integral theorem on discs. In this chapter, we extend these results to holomorphic functions defined on arbitrary domains. On the one hand, the local theory will be applied in full; on the other, it will be completed by showing that the local theory in fact holds exclusively on simply connected domains.

Suggested Citation

  • Norbert Steinmetz, 2026. "The Residue Theorem," Springer Books, in: Lectures on Complex Analysis, chapter 4, pages 83-96, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-13996-2_4
    DOI: 10.1007/978-3-032-13996-2_4
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