Complex Variables and Applications

Brown, J. W., Ruel V. Churchill, C. V., & Applications, 9. e. (2014). Complex Variables and Applications. McGraw-Hill.

Type

Book chapter

Intellectual base

Textbook

Year

2014

ISBN

9780073383170

Link

https://openlibrary.org/books/OL28510830Mmatched

Cited by

2 citations across 2 artifacts.

Domain-specific

• Complex conjugate
  • … the conjugate is \(\overline z=3-4i\), and the product \(z\overline z=25=|z|^2\) is real and nonnegative. to If a polynomial has real coefficients and \(p(z)=0\), then \(p(\overline z)=\overline{p(z)}=0\), so every nonreal root occurs with its conjugate and with the same multiplicity. demonstrates that continuity.
• Harmonic conjugate
  • Its relationship to the Hilbert transform is boundary- and domain-dependent; the terms should not be equated without specifying the analytic setting.

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