elementary function and non-elementary function amount

shahar

Junior Member
Joined
Jul 19, 2018
Messages
189
What more bigger the group of elementary function or non-elementary function?

How can it will be proven?
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
5,178
First you will have to tell us how you wish to measure "bigger" for infinite sets! Both of the sets are infinite. For example. \(\displaystyle sin(\alpha x)\) is an elementary function for all \(\displaystyle \alpha\) and \(\displaystyle J_o(\beta x)\) is a non-elementary function for all \(\displaystyle \beta\).
 
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