List questions from differential-field

Published on 23 Feb 2026 - 1:02

107

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Defining the rational function field in n variables.

Published on 04 Apr 2015 - 16:04

2.4k

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Is this an isolated equilibrium point?

Published on 22 May 2016 - 20:33

517

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How does one make real functions a differentiable field?

Published on 01 Nov 2013 - 18:57

1.5k

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Is a factorial an algebraic function and an elementary function?

Published on 12 Jan 2012 - 15:27

2.2k

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$\int \cos(x) \ln(x) dx$, elementary function?

Published on 29 Jan 2012 - 1:13

22.1k

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How to determine with certainty that a function has no elementary antiderivative?

Published on 27 Dec 2012 - 6:09

197

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Is there a solvable differential equation with a nonsolvable lie group of symmetries?

Published on 08 Jun 2021 - 21:58

198

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When does $\sqrt{f(x)}\exp{g(x)}$ have an elementary antiderivative?

Published on 20 Aug 2021 - 14:37

109

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The field of constants of a differential ring. Derivative of real and complex numbers.

Published on 02 Dec 2021 - 2:37

36

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Canonical reference for algebraic theory of polylogs?

Published on 19 Mar 2022 - 12:05

100

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Does an elementary antiderivative of $e^{\sin x} \sin x$ exist?

Published on 24 Mar 2022 - 17:40

70

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Does there exist a finite set of solutions to integrals such that any function composed of elementary functions is integrable?

Published on 22 Aug 2022 - 23:31

35

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Effective algorithms for differentially closed fields

Published on 05 Nov 2022 - 15:17

List Question

German for "Liouvillian extension"

Defining the rational function field in n variables.

Is this an isolated equilibrium point?

How does one make real functions a differentiable field?

Is a factorial an algebraic function and an elementary function?

$\int \cos(x) \ln(x) dx$, elementary function?

How to determine with certainty that a function has no elementary antiderivative?

Is there a solvable differential equation with a nonsolvable lie group of symmetries?

When does $\sqrt{f(x)}\exp{g(x)}$ have an elementary antiderivative?

The field of constants of a differential ring. Derivative of real and complex numbers.

Canonical reference for algebraic theory of polylogs?

Does an elementary antiderivative of $e^{\sin x} \sin x$ exist?

Does there exist a finite set of solutions to integrals such that any function composed of elementary functions is integrable?

Effective algorithms for differentially closed fields

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