| Information | |
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| has gloss | eng: 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 :\mathbbD}^qf 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. |
| lexicalization | eng: differintegral |
| instance of | c/Generalizations of the derivative |
| Meaning | |
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| Portuguese | |
| has gloss | por: Em cálculo fracional, na área de matemática aplicada, a diferintegral é um operador combinado de diferenciação/integração. Aplicada a uma função ƒ, a diferintegral q de f, aqui notada por |
| lexicalization | por: diferintegral |
| Russian | |
| has gloss | rus: Дифферинтеграл в математическом анализе — объединённый оператор дифференцирования/интегрирования, используется в дифференциальном и интегральном исчислении дробного порядка. Сам по себе оператор не задаёт новую функцию, а лишь служит для обозначения операции взятия производной/интеграла дробного порядка. |
| lexicalization | rus: Дифферинтеграл |
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