- #1

- 532

- 5

## 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?

[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?