Buchholz's psi-functions are a hierarchy of single-argument ordinal functions ψ ν ( α ) {\displaystyle \psi _{\nu }(\alpha )} introduced by German mathematician Wilfried Buchholz in 1986. These functions are a simplified version of the θ {\displaystyle \theta } -functions, but nevertheless have the same strength as those. Later on this approach was extended by Jäger and Schütte.