Non-elementary function

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Non-elementary function

In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, ... ,Non-elementary functions — Non-elementary functions[edit]. An example of a function that is not elementary is the error function. ,A standard precalculus text covers elementary functions where you can take sums products powers and quotient of basic building block functions. The basic ... ,A standard precalculus text covers elementary functions where you can take sums products powers and quotient of basic building block functions. The basic ... ,2019年12月1日 — Any function that isn't elementary is non elementary. A precise mathematical definition doesn't exist; The definition is one of exclusion ... ,F(x) is a non-elementary integral. The elementary functions are differentiable, and their derivatives are also elementary. Because Φ is elementary, ... ,The derivative of an elementary function is an elementary function: the standard Calculus 1 differentiation methods can be used to find this derivative. ,Such an F does not exists. There is no anti-derivative that is an elementary function. Since e−x2 is an analytic function, you can still integrate the ... ,由 W Fischer 著作 · 2012 — The Γ-function, interpolating the factorials, is perhaps the most important nonelementary function (V.1). Riemann's ζ-function (V.2,3) and its ...

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Non-elementary function 相關參考資料
Nonelementary integral - Wikipedia

In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, ...

https://en.wikipedia.org

Elementary function - Wikipedia

Non-elementary functions — Non-elementary functions[edit]. An example of a function that is not elementary is the error function.

https://en.wikipedia.org

What's the difference between elementary and non ... - Quora

A standard precalculus text covers elementary functions where you can take sums products powers and quotient of basic building block functions. The basic ...

https://www.quora.com

What are some examples of non-elementary integrals? - Quora

A standard precalculus text covers elementary functions where you can take sums products powers and quotient of basic building block functions. The basic ...

https://www.quora.com

Elementary Functions Non Elementary Functions - Calculus ...

2019年12月1日 — Any function that isn't elementary is non elementary. A precise mathematical definition doesn't exist; The definition is one of exclusion ...

https://www.calculushowto.com

Is there a non-elementary function with an elementary ...

F(x) is a non-elementary integral. The elementary functions are differentiable, and their derivatives are also elementary. Because Φ is elementary, ...

https://math.stackexchange.com

How can we prove that any integral in the set of non ...

The derivative of an elementary function is an elementary function: the standard Calculus 1 differentiation methods can be used to find this derivative.

https://math.stackexchange.com

Power series for non elementary functions - Mathematics ...

Such an F does not exists. There is no anti-derivative that is an elementary function. Since e−x2 is an analytic function, you can still integrate the ...

https://math.stackexchange.com

Non-elementary functions | SpringerLink

由 W Fischer 著作 · 2012 — The Γ-function, interpolating the factorials, is perhaps the most important nonelementary function (V.1). Riemann's ζ-function (V.2,3) and its ...

https://link.springer.com