1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Question about Logarithmic function

  1. Nov 11, 2011 #1
    In my complex analysis textbook, there is a definition about log function, which is:
    log z := Log |z| + i arg z
    = Log |z| + i Arg z + 2kπ where k = 0,±1,±2....

    my question is , is there any different between log and Log, and arg and Arg?
    If yes, whats the different between them
     
  2. jcsd
  3. Nov 11, 2011 #2

    I like Serena

    User Avatar
    Homework Helper

    Hi nickolas2730!

    The difference is that log and arg are so called "multi valued functions".
    This means log z is a set of values instead of just 1 value.

    Log and Arg are regular functions that yield the so called "principle value".
    That is, an argument between 0 and 2pi.
     
  4. Nov 11, 2011 #3
    oh i see, which means the ans for log and arg must comtain something like 2kπ, which makes them as a set of solution?
     
  5. Nov 11, 2011 #4

    I like Serena

    User Avatar
    Homework Helper

  6. Nov 11, 2011 #5
    thank you again =]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Question about Logarithmic function
Loading...