Does this make the function Transcendental?

  • #1

Main Question or Discussion Point

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?
 

Answers and Replies

  • #2
HallsofIvy
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I have moved this thread to "Calculus and Analysis" because it is question, not "learning materials".
 

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