Question

Can the "simple" equation $e^x=\log(x)$ be solved using algebra?

score 224 · Answer 1 · 2023-10-01 08:26:29

224

Views

Can the "simple" equation $e^x=\log(x)$ be solved using algebra?

Published on 01 Oct 2023 - 8:26

score 104 · Answer 2 · 2026-03-26 17:35:36

104

Views

How can I approximate this this equation $(ax+b)\exp(-cx) = (fx+d)$ to real-number?

Published on 26 Mar 2026 - 17:35

score 33 · Answer 3 · 2023-10-05 14:46:27

33

Views

Does the following expression have a closed form?

Published on 05 Oct 2023 - 14:46

score 115 · Answer 4 · 2023-10-06 03:20:55

115

Views

is a closed form solution possible?

Published on 06 Oct 2023 - 3:20

score 132 · Answer 5 · 2026-03-25 04:00:10

132

Views

closed form for $\psi^{(-2)}\left(\frac{1}{4} \right)$

Published on 25 Mar 2026 - 4:00

score 67 · Answer 6 · 2026-03-26 04:50:46

67

Views

Is there a "hyper-geometric" or "super-geometric" sum formula?

Published on 26 Mar 2026 - 4:50

score 39 · Answer 7 · 2023-10-11 15:27:57

39

Views

Finding a closed-form expression for a definite Integral

Published on 11 Oct 2023 - 15:27

score 79 · Answer 8 · 2023-10-15 20:32:57

79

Views

Do the roots of these functions have closed-form expressions?

Published on 15 Oct 2023 - 20:32

score 119 · Answer 9 · 2026-03-29 03:21:48

119

Views

Closed expression for an integral involving harmonic numbers

Published on 29 Mar 2026 - 3:21

score 77 · Answer 10 · 2026-03-27 14:21:40

77

Views

Solve $\nabla^2 u(x,y) = 1-y$ + B.C.

Published on 27 Mar 2026 - 14:21

score 85 · Answer 11 · 2026-04-01 12:49:15

85

Views

Find a compact (close form) expression based upon the binomial theorem for the polynomials $\sum\limits_{0 \leq 2k \leq n} {n \choose 2k}{x}^{2k}$

Published on 01 Apr 2026 - 12:49

score 91 · Answer 12 · 2023-10-19 04:04:31

91

Views

Need help finding a general formula for integrals involving powers of $\arctan$

Published on 19 Oct 2023 - 4:04

score 66 · Answer 13 · 2023-10-21 00:46:58

66

Views

Examples of "natural" combinatorial functions for which it has been proven that there is no closed-form expression

Published on 21 Oct 2023 - 0:46

score 156 · Answer 14 · 2026-03-27 23:20:05

156

Views

Expressing Ramanujan's $\sqrt{\frac{\pi\,e}{2}}$ as $two$ continued fractions

Published on 27 Mar 2026 - 23:20

score 307 · Answer 15 · 2026-03-27 23:14:16

307

Views

On the cubic counterpart of Ramanujan's $\sqrt{\frac{\pi\,e}{2}} =1+\frac{1}{1\cdot3}+\frac{1}{1\cdot3\cdot5}+\frac{1}{1\cdot3\cdot5\cdot7}+\dots$?

Published on 27 Mar 2026 - 23:14

List Question

Can the "simple" equation $e^x=\log(x)$ be solved using algebra?

How can I approximate this this equation $(ax+b)\exp(-cx) = (fx+d)$ to real-number?

Does the following expression have a closed form?

is a closed form solution possible?

closed form for $\psi^{(-2)}\left(\frac{1}{4} \right)$

Is there a "hyper-geometric" or "super-geometric" sum formula?

Finding a closed-form expression for a definite Integral

Do the roots of these functions have closed-form expressions?

Closed expression for an integral involving harmonic numbers

Solve $\nabla^2 u(x,y) = 1-y$ + B.C.

Find a compact (close form) expression based upon the binomial theorem for the polynomials $\sum\limits_{0 \leq 2k \leq n} {n \choose 2k}{x}^{2k}$

Need help finding a general formula for integrals involving powers of $\arctan$

Examples of "natural" combinatorial functions for which it has been proven that there is no closed-form expression

Expressing Ramanujan's $\sqrt{\frac{\pi\,e}{2}}$ as $two$ continued fractions

On the cubic counterpart of Ramanujan's $\sqrt{\frac{\pi\,e}{2}} =1+\frac{1}{1\cdot3}+\frac{1}{1\cdot3\cdot5}+\frac{1}{1\cdot3\cdot5\cdot7}+\dots$?

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