Question

Does this series $\cosh 1 + (\cosh 1-1)x^2+(\cosh1-1-\frac{1}{2!})x^4+(\cosh1-1-\frac{1}{2!}-\frac{1}{4!})x^6+\cdots$ converge?

score 132 · Answer 1 · 2017-05-29 18:23:57

132

Views

Does this series $\cosh 1 + (\cosh 1-1)x^2+(\cosh1-1-\frac{1}{2!})x^4+(\cosh1-1-\frac{1}{2!}-\frac{1}{4!})x^6+\cdots$ converge?

Published on 29 May 2017 - 18:23

score 104 · Answer 2 · 2017-05-31 13:49:09

104

Views

Choosing 'hyperbolic' coordinates adapted to the quadratic quantity $x^2+y^2-z^2-t^2$

Published on 31 May 2017 - 13:49

score 435 · Answer 3 · 2017-06-04 18:20:18

435

Views

Laplace Transform $\sinh(\sqrt{t})$

Published on 04 Jun 2017 - 18:20

score 193 · Answer 4 · 2017-06-07 14:09:13

193

Views

Can the input variable of any polynomial function be a non-polynomial function?

Published on 07 Jun 2017 - 14:09

score 316 · Answer 5 · 2017-06-08 09:10:38

316

Views

Solve the initial value problem $1+y\sinh(x)+(1+\cosh(x))y'=0,y(0)=\frac{1}{2}$

Published on 08 Jun 2017 - 9:10

score 40 · Answer 6 · 2017-06-10 17:15:07

40

Views

How to find the coefficient of $x^n$ in $\sinh^a x\cdot \cosh^b x \cdot e^{cx}$ at $x=0$

Published on 10 Jun 2017 - 17:15

score 1k · Answer 7 · 2017-06-10 22:21:53

1k

Views

Solutions to $y''(x)-y(x)=0$

Published on 10 Jun 2017 - 22:21

score 81 · Answer 8 · 2017-06-12 18:13:09

81

Views

other functions the look similar to the hyperbolic sine function

Published on 12 Jun 2017 - 18:13

score 58 · Answer 9 · 2017-06-13 09:16:29

58

Views

$f'(x)\cosh x - f(x)\sinh x = c_0$

Published on 13 Jun 2017 - 9:16

score 136 · Answer 10 · 2017-06-14 10:50:18

136

Views

$f(x) = {\cosh x \over \sinh x}f'(x)$

Published on 14 Jun 2017 - 10:50

score 142 · Answer 11 · 2017-06-15 04:50:01

142

Views

A long trigonometric/hyperbolic integral

Published on 15 Jun 2017 - 4:50

score 320 · Answer 12 · 2017-06-15 06:52:40

320

Views

Evaluate $\sum_{n=1}^{\infty}\frac{n}{3^n-1}.$

Published on 15 Jun 2017 - 6:52

score 187 · Answer 13 · 2017-06-20 21:28:50

187

Views

Why is $\sum_{k=1}^\infty (-1)^{k+1}\frac{ \text{csch}(\pi k)}{k} = \frac{1}{2}(\ln(64) - \pi)$?

Published on 20 Jun 2017 - 21:28

score 51 · Answer 14 · 2017-06-22 20:02:44

51

Views

Prove $\sinh(u+v-\eta)\sinh(2v)-\sinh(\eta)\sinh(u-v) = \sinh(2v-\eta)\sinh(u+v)$

Published on 22 Jun 2017 - 20:02

score 60 · Answer 15 · 2017-06-29 10:40:05

60

Views

How to sketch $\sqrt{y^2-1}=\dfrac{1}{2}\left(e^x-e^{-x}\right)$?

Published on 29 Jun 2017 - 10:40

List Question

Does this series $\cosh 1 + (\cosh 1-1)x^2+(\cosh1-1-\frac{1}{2!})x^4+(\cosh1-1-\frac{1}{2!}-\frac{1}{4!})x^6+\cdots$ converge?

Choosing 'hyperbolic' coordinates adapted to the quadratic quantity $x^2+y^2-z^2-t^2$

Laplace Transform $\sinh(\sqrt{t})$

Can the input variable of any polynomial function be a non-polynomial function?

Solve the initial value problem $1+y\sinh(x)+(1+\cosh(x))y'=0,y(0)=\frac{1}{2}$

How to find the coefficient of $x^n$ in $\sinh^a x\cdot \cosh^b x \cdot e^{cx}$ at $x=0$

Solutions to $y''(x)-y(x)=0$

other functions the look similar to the hyperbolic sine function

$f'(x)\cosh x - f(x)\sinh x = c_0$

$f(x) = {\cosh x \over \sinh x}f'(x)$

A long trigonometric/hyperbolic integral

Evaluate $\sum_{n=1}^{\infty}\frac{n}{3^n-1}.$

Why is $\sum_{k=1}^\infty (-1)^{k+1}\frac{ \text{csch}(\pi k)}{k} = \frac{1}{2}(\ln(64) - \pi)$?

Prove $\sinh(u+v-\eta)\sinh(2v)-\sinh(\eta)\sinh(u-v) = \sinh(2v-\eta)\sinh(u+v)$

How to sketch $\sqrt{y^2-1}=\dfrac{1}{2}\left(e^x-e^{-x}\right)$?

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