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Atmos
  • Member for 4 years, 7 months
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9 votes
1 answer
64 views

An odd series: $\sum_{n \geq 0} \cos\left(\frac{\pi}{4}\alpha^n\right)$

7 votes
1 answer
81 views

Find a limit of $\ln(u_n)/2^n$

6 votes
1 answer
199 views

Computing $\int \sqrt{x\sqrt[3]{x\sqrt[4]{x\sqrt[5]{x\cdots}}}} \,\mathrm{d}x$

6 votes
3 answers
2k views

Computing the square root of a circle

5 votes
1 answer
197 views

Beautiful sum of trigonometric roots [duplicate]

5 votes
1 answer
119 views

Proving that $\int_{0}^{+\infty}e^{ix^n}\text{d}x=\Gamma\left(1+\frac{1}{n}\right)e^{i\pi/2n}$

5 votes
0 answers
64 views

Study of a " flow "

4 votes
0 answers
66 views

Erdös's sequence [duplicate]

4 votes
0 answers
52 views

Equivalent of a divergent sequence

3 votes
2 answers
122 views

Compute $\int_{0}^{+\infty}\text{arctan}\left(e^{-x}\right)\text{d}x$

3 votes
1 answer
129 views

Solution for $\displaystyle f'\left(x\right)=\cos\left(f\left(x\right)\right)$

3 votes
0 answers
97 views

A question from an old french olympiad

3 votes
1 answer
79 views

A unique solution for $y'=\cos\left(y\right)$

3 votes
2 answers
198 views

Solving $f'(x)=f(x+1)$ [duplicate]

3 votes
1 answer
73 views

Convergence of a sequence $a_n$

2 votes
1 answer
44 views

How to show Fourier series development for even function

2 votes
4 answers
196 views

Solving $f\left(x\right)+f\left(1/x\right)=K$

2 votes
1 answer
584 views

Question about link between Julia set and Mandelbrot Set

2 votes
1 answer
57 views

Basis of $M_n\left(\mathbb{R}\right)$ formed of diagonalizable matrix

2 votes
2 answers
119 views

Explicit form of the function $F\left(p\right)=\int_{0}^{\, \pi/2}\ln\left(1+p\sin^2\left(t\right)\right)\text{d}t$

2 votes
1 answer
44 views

Calculating $\Gamma'(n)$ for $n \in \mathbb{N}^{*}$

2 votes
1 answer
50 views

"Dominating" a function (to differentiate under integral sign)

2 votes
2 answers
81 views

About an equivalent of $\displaystyle \int_{0}^{+\infty}\frac{\text{d}x}{\left(\alpha^2+x^2\right)^n}$ [ Checking a result ]

2 votes
2 answers
97 views

Computing $\sum\limits_{k=-\infty}^{+\infty}\frac{\left(-1\right)^{k}}{\alpha k +\beta}$

2 votes
1 answer
125 views

Compute $\int\limits_0^{\pi}\ln\left(1-\cos\left(t\right)\right)\ dt$ [duplicate]

2 votes
3 answers
182 views

Computing $\int_{0}^{+\infty}\arctan\left(\frac{1}{x^n}\right)\,\mathrm{d}x$

2 votes
2 answers
37 views

Irrationality based on series expansion condition

2 votes
1 answer
25 views

Convergente of sum of divisors sequence

2 votes
1 answer
66 views

Cardinal of the Special Orthogonal Group $SO_n\left(\mathbb{Z}/2^n\mathbb{Z}\right)$

2 votes
2 answers
115 views

Computing $\int_{0}^{+\infty}\frac{\text{d}x}{1+xe^x}$