List questions from transcendental-functions

Published on 19 Oct 2018 - 4:02

65

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Show that the complex integral is a solution of Gauss's hypergeometric equation and express it in terms of standard ones.

Published on 28 Mar 2019 - 14:55

147

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Does this transcendental equation have solutions for a non real variable?

Published on 02 May 2019 - 4:14

3.2k

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What is transcendental equation/function?

Published on 25 Aug 2019 - 16:16

68

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How can you prove algebraic inputs of a transcendental function are transcendental?

Published on 14 Sep 2019 - 16:37

177

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Closed-form solvability of elementary transcendental equations?

Published on 27 Oct 2019 - 21:54

46

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Prove that $e^{\frac{1}{\log(x)}}$ is at least countably transcendental

Published on 05 Nov 2019 - 20:51

53

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Total derivative of transcendental function as a ratio of its partial derivatives

Published on 24 Nov 2019 - 6:27

80

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Can a transcendental function generally be expressed as a polynomial of $n^{th}$ degree where $n$ approaches infinity?

Published on 30 Nov 2019 - 17:48

48

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Possibility/impossibility of algebraic sum?

Published on 25 Feb 2020 - 3:49

39

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Are there simple conditions for $\frac{f(x)}{f'(x)}$ to be algebraic given $f(x)$ is not an algebraic function?

Published on 03 Apr 2020 - 14:54

440

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Prove that $\int \sin(x^2)dx$ is not elementary

Published on 29 Apr 2020 - 2:27

182

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Integral $ \int_{-\infty}^{+\infty} e^{-t^2}\ln(1+e^t) \, dt $

Published on 16 May 2020 - 11:02

141

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"Simple" condition that would prove a function transcendental

Published on 03 Jun 2020 - 12:30

41

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Convex ratio of two Gamma functions

Published on 11 Jun 2020 - 20:51

List Question

Transcendental entire functions

Show that the complex integral is a solution of Gauss's hypergeometric equation and express it in terms of standard ones.

Does this transcendental equation have solutions for a non real variable?

What is transcendental equation/function?

How can you prove algebraic inputs of a transcendental function are transcendental?

Closed-form solvability of elementary transcendental equations?

Prove that $e^{\frac{1}{\log(x)}}$ is at least countably transcendental

Total derivative of transcendental function as a ratio of its partial derivatives

Can a transcendental function generally be expressed as a polynomial of $n^{th}$ degree where $n$ approaches infinity?

Possibility/impossibility of algebraic sum?

Are there simple conditions for $\frac{f(x)}{f'(x)}$ to be algebraic given $f(x)$ is not an algebraic function?

Prove that $\int \sin(x^2)dx$ is not elementary

Integral $ \int_{-\infty}^{+\infty} e^{-t^2}\ln(1+e^t) \, dt $

"Simple" condition that would prove a function transcendental

Convex ratio of two Gamma functions

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