Question

If possible, meaningfully simplify an expression involving logs, polylogs and hyperbolic trigonometric functions

score 109 · Answer 1 · 2019-12-05 12:12:00

109

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If possible, meaningfully simplify an expression involving logs, polylogs and hyperbolic trigonometric functions

Published on 05 Dec 2019 - 12:12

score 1.3k · Answer 2 · 2019-12-10 11:08:51

1.3k

Views

Power series expansion of $\text{arsinh}(x)$ at $0$

Published on 10 Dec 2019 - 11:08

score 297 · Answer 3 · 2019-12-10 15:30:27

297

Views

Hyperbolic function inequality: $ \sinh(x) > \frac12 {\Large(} \frac {\cosh(x)}{\cosh(x-a)} {\Large)}^{x/a} $

Published on 10 Dec 2019 - 15:30

score 555 · Answer 4 · 2026-03-26 04:53:00

555

Views

Solving $\sinh x = kx$

Published on 26 Mar 2026 - 4:53

score 38 · Answer 5 · 2019-12-17 00:37:15

38

Views

Understanding matrices that slide all points along functions

Published on 17 Dec 2019 - 0:37

score 111 · Answer 6 · 2019-12-18 02:41:55

111

Views

Finding $\int\coth^4xdx$

Published on 18 Dec 2019 - 2:41

score 279 · Answer 7 · 2019-12-19 11:56:23

279

Views

Prove that $\tanh^2(x) \leq x^2$

Published on 19 Dec 2019 - 11:56

score 221 · Answer 8 · 2019-12-21 17:56:55

221

Views

Quick question about a hyperbola in $\log-\log$ space

Published on 21 Dec 2019 - 17:56

score 135 · Answer 9 · 2019-12-21 22:44:12

135

Views

Do $T_s$ and $H_s$ both describe hyperbolic rotation?

Published on 21 Dec 2019 - 22:44

score 6.3k · Answer 10 · 2019-12-26 10:28:58

6.3k

Views

Prove that sinh(2x) = 2sinh(x)cosh(x)

Published on 26 Dec 2019 - 10:28

score 42 · Answer 11 · 2019-12-26 20:49:49

42

Views

Are there examples of $f(x)$ for which $\mathcal{F}_x[f(x)](s)=\mathcal{F}_x^{-1}[f(x)](s)$ other than $f(x)=\cos(x)$ and $f(x)=\text{sinc}(x)$?

Published on 26 Dec 2019 - 20:49

score 298 · Answer 12 · 2020-01-04 13:33:42

298

Views

Is it valid for hyperbolic trigonometric identities to be proven using their relationship to the circular trigonometric functions?

Published on 04 Jan 2020 - 13:33

score 105 · Answer 13 · 2020-01-07 14:42:53

105

Views

Prove that the solutions to $\exp(\sinh(\frac{1}{\ln(x)}))=x$ are reciprocals of each other

Published on 07 Jan 2020 - 14:42

score 2.3k · Answer 14 · 2020-01-11 01:17:56

2.3k

Views

Circular angles vs. hyperbolic angles

Published on 11 Jan 2020 - 1:17

score 98 · Answer 15 · 2020-01-16 20:57:01

98

Views

Proving tanh(w) < w < sinh(w)

Published on 16 Jan 2020 - 20:57

List Question

If possible, meaningfully simplify an expression involving logs, polylogs and hyperbolic trigonometric functions

Power series expansion of $\text{arsinh}(x)$ at $0$

Hyperbolic function inequality: $ \sinh(x) > \frac12 {\Large(} \frac {\cosh(x)}{\cosh(x-a)} {\Large)}^{x/a} $

Solving $\sinh x = kx$

Understanding matrices that slide all points along functions

Finding $\int\coth^4xdx$

Prove that $\tanh^2(x) \leq x^2$

Quick question about a hyperbola in $\log-\log$ space

Do $T_s$ and $H_s$ both describe hyperbolic rotation?

Prove that sinh(2x) = 2sinh(x)cosh(x)

Are there examples of $f(x)$ for which $\mathcal{F}_x[f(x)](s)=\mathcal{F}_x^{-1}[f(x)](s)$ other than $f(x)=\cos(x)$ and $f(x)=\text{sinc}(x)$?

Is it valid for hyperbolic trigonometric identities to be proven using their relationship to the circular trigonometric functions?

Prove that the solutions to $\exp(\sinh(\frac{1}{\ln(x)}))=x$ are reciprocals of each other

Circular angles vs. hyperbolic angles

Proving tanh(w) < w < sinh(w)

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