Complex logarithm
Summary
A complex logarithm of a nonzero complex number is a complex number with , see the definition. Each has infinitely many logarithms, which differ by integer multiples of . A complex logarithm function is a continuous choice of a logarithm on an open subset of .
Where this leads
9 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Complex_logarithm, lead section
About this page
| Tag | 02QGGD5G87 |
|---|---|
| URI | m2://02QGGD5G87 |
| Aliases | logarithm-of-a-complex-number |
| Kind | concept |
| Writing | W0 stub |
| MSC | 33B10 |
| Same as |
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Definitions
Used by
- Hankel contour integral for the gamma function
- Stirling's formula for the gamma function
- Fuchs' theorem
- Binet's formulas for the log-gamma function
- Bloch–Wigner function
- Dilogarithm
- Gelfond–Schneider theorem
- Baker's theorem