Results 1 to 3 of 3

Math Help - totoal differential of complex function

  1. #1
    Junior Member
    Joined
    Oct 2012
    From
    uk
    Posts
    41

    totoal differential of complex function

    f(z)=z(bar(z))^2+2(bar(z))z^2 ,then calculate the total differential of f viewed as a map from R^2->R^2 . determine the points at which f is complex differentiable , is f holomorhpic anywhere????

    what does it mean view as a map from R^2->R^2. how to calculate the total differential
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Mar 2010
    From
    Beijing, China
    Posts
    293
    Thanks
    23

    Re: totoal differential of complex function

    f(x,y)=(x^2+y^2)(3x, y)
    And calculate its Jacobian
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2012
    From
    uk
    Posts
    41

    Re: totoal differential of complex function

    i did the first part and for secund part i use the Jocobian ,for if it is differentiable then if follow the cachy rieman equations which is 9x^2+3y^2=x^2+3y^2, and 6xy=-2xy the solution for the equation systems is x=o y is real , so it can be differentiable at (o,y) y is real number ,does it right??? if it is ,then How should i found holomorphic anywhere???
    Last edited by cummings123321; November 29th 2012 at 02:02 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: October 4th 2011, 06:30 AM
  2. [SOLVED] complex analysis: differentiability of a complex function?
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: February 16th 2011, 09:33 AM
  3. [SOLVED] really complex looking differential equation!!
    Posted in the Differential Equations Forum
    Replies: 7
    Last Post: February 4th 2009, 06:46 PM
  4. Replies: 1
    Last Post: March 3rd 2008, 08:17 AM
  5. Replies: 1
    Last Post: October 28th 2007, 09:44 AM

Search Tags


/mathhelpforum @mathhelpforum