# Differintegral

In fractional calculus, an area of applied mathematics, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q-differintegral of f, here denoted by D q f {\displaystyle \mathbb {D} ^{q}f} is the fractional derivative (if q > 0) or fractional integral (if q < 0). If q = 0, then the q-th differintegral of a function is the function itself. In the context of fractional integration and differentiation, there are several legitimate definitions of the differintegral.

## Words

This table shows the example usage of word lists for keywords extraction from the text above.

Word | Word Frequency | Number of Articles | Relevance |
---|---|---|---|

differintegral | 5 | 6 | 0.755 |

fractional | 5 | 505 | 0.511 |

q | 5 | 10383 | 0.345 |

differentiation | 3 | 1665 | 0.267 |