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Does this make the function Transcendental?

  1. Mar 4, 2010 #1
    Hi I'm reading Euler's Introduction to Analysis of the Infinite & he's distinguishing between algebraic & transcendental functions and I wonder is the fact that the following function cannot be written explicitly a cause of "transcendentality".

    [tex] Z^5 = az^2Z^3 - bz^4Z^2 + cz^3Z - 1[/tex]

    where Z is a function of z.

    Maybe I've read it wrong or asked the question too soon but does being unable to write a function explicitly automatically make the answer transcendental?
     
  2. jcsd
  3. Mar 5, 2010 #2

    HallsofIvy

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    I have moved this thread to "Calculus and Analysis" because it is question, not "learning materials".
     
  4. Mar 7, 2010 #3
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