Ordinary and Singular Points in Power series

Discussion in 'Math' started by susi, Jul 16, 2004.

  1. susi

    Thread Starter Active Member

    Jun 4, 2004
    31
    0
    hi,
    what is the difference b/w ordinary and singular points and what is the behaviour of Analytical functions on these points?...
    please tell me in brief with examples.
    thanks!
     
  2. XMR

    New Member

    Jan 21, 2005
    3
    0
    Function f is analytic in point z' if it has derivative (in complex meening) around z' point.
    f(z)=U(x)+iV(y);
    z=x+iy

    If this condition isn't satisfied the function(for example power serie) isn't analytic in this point.

    Derivative (complex) exist when ∂u/∂x=∂v/∂y and ∂u/∂y=-∂v/∂x
     
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