Schwarzian derivative

English

Noun

Schwarzian derivative (plural Schwarzian derivatives)

1. (singular only) A particular operator that, when applied to a function f yields a function $x\mapsto {\frac {f'''(x)}{f'(x)}}-{\frac {3}{2}}\left({\frac {f''(x)}{f'(x)}}\right)^{2}$
2. (countable) Any image of that operator.

Synonyms

• (both senses): Schwarzian

Further reading

• Schwarzian derivative on Wikipedia.Wikipedia