Skip to main content
MathOverflow

Return to Question

Post Closed as "Needs details or clarity" by Misha, Ricardo Andrade, Stefan Kohl♦, Andrey Rekalo, Chris Godsil
added 24 characters in body
Source Link
Anixx
Anixx
  • 10.1k
  • 4
  • 39
  • 63

Is there a finite set $P$ of non-elementary functions $f_n$ such that the derivative of any function $f$ from that set is not elementary, but expressible with functions from the same set $P$ plus elementary functions?

Is there a finite set $P$ of non-elementary functions $f_n$ such that the derivative of any function $f$ from that set is expressible with functions from the same set $P$ plus elementary functions?

Is there a finite set $P$ of non-elementary functions $f_n$ such that the derivative of any function $f$ from that set is not elementary, but expressible with functions from the same set $P$ plus elementary functions?

Source Link
Anixx
Anixx
  • 10.1k
  • 4
  • 39
  • 63

Is there a class of functions closed against differentiation besides elementary?

Is there a finite set $P$ of non-elementary functions $f_n$ such that the derivative of any function $f$ from that set is expressible with functions from the same set $P$ plus elementary functions?