Opened 12 years ago

Last modified 4 weeks ago

## #10033 new enhancement

# Give references for branch cuts in various symbolic functions

Reported by: | Karl-Dieter Crisman | Owned by: | Minh Van Nguyen |
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Priority: | minor | Milestone: | |

Component: | documentation | Keywords: | |

Cc: | Burcin Erocal | Merged in: | |

Authors: | Reviewers: | ||

Report Upstream: | N/A | Work issues: | |

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description

See #9900, where conjugation is improved but relies on a choice of branch cut. If we can find internet/book references for whether these are 'standard', that would be a nice addition to our documentation. Also, let's make sure they are consistent with our numerical evaluation!

### Change History (7)

### comment:1 Changed 12 years ago by

### comment:2 Changed 12 years ago by

And the url of the book which I forgot to include in the previous post:

### comment:3 Changed 9 years ago by

Milestone: | sage-5.11 → sage-5.12 |
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### comment:4 Changed 9 years ago by

Milestone: | sage-6.1 → sage-6.2 |
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### comment:5 Changed 9 years ago by

Milestone: | sage-6.2 → sage-6.3 |
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### comment:6 Changed 8 years ago by

Milestone: | sage-6.3 → sage-6.4 |
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### comment:7 Changed 4 weeks ago by

Milestone: | sage-6.4 |
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Here is a reference (available online !):

Abramowitz and Stegun: Handbook of Mathematical Functions

Branch cuts are given in chapter 4. Elementary Transcendental Functions. Pages 67 (for log), 79 (for inverse trig func) and 86 (for inverse hyper fun) are of special interest.

A good link on the web :

Here are some other links on the internet :