Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Incomplete gamma function
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
======Sectors====== Sectors in {{math|'''C'''}} having their vertex at {{math|1=''z'' = 0}} often prove to be appropriate domains for complex expressions. A sector {{mvar|D}} consists of all complex {{mvar|z}} fulfilling {{math|''z'' ≠ 0}} and {{math|''α'' − ''δ'' < arg ''z'' < ''α'' + ''δ''}} with some {{mvar|α}} and {{math|0 < ''δ'' ≤ ''π''}}. Often, {{mvar|α}} can be arbitrarily chosen and is not specified then. If {{mvar|δ}} is not given, it is assumed to be {{pi}}, and the sector is in fact the whole plane {{math|'''C'''}}, with the exception of a half-line originating at {{math|1=''z'' = 0}} and pointing into the direction of {{math|−''α''}}, usually serving as a [[Branch cut#Branch cuts|branch cut]]. Note: In many applications and texts, {{mvar|α}} is silently taken to be 0, which centers the sector around the positive real axis.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)