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phy_math
  • Member for 9 years, 7 months
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26 votes
3 answers
2k views

Prove $\int_0^{\infty} \left(\sqrt{1+x^{4}}-x^{2}\right)\ dx=\frac{\Gamma^{2}\left(\frac{1}{4}\right)}{6\sqrt{\pi}}$

20 votes
3 answers
9k views

How to obtain the Laurent expansion of gamma function around $z=0$?

16 votes
5 answers
2k views

How to compute $\int_0^\infty \frac{x^4}{(x^4+ x^2 +1)^3} dx =\frac{\pi}{48\sqrt{3}}$?

11 votes
2 answers
1k views

Intuitive meaning of transitive action

7 votes
6 answers
743 views

Examples of $\pi_1 (X) = \mathbb{Z}$ [closed]

7 votes
3 answers
374 views

How many spheres are needed to shield a point source of light?

6 votes
1 answer
2k views

Conformal group in two dimensions

6 votes
2 answers
2k views

What are Darboux coordinates?

6 votes
3 answers
207 views

Difference of $f:\mathbb{R}^2 \rightarrow \mathbb{R}^2$ and as $f: \mathbb{C} \rightarrow \mathbb{C}$.

5 votes
1 answer
105 views

$A \in M_{n\times n}(\mathbb{Q})$ with $A\neq I_n$, $A^p=I_n$ then $p\leq n+1$.

5 votes
3 answers
295 views

About Integration $ \int \frac{\tanh(\sqrt{1+z^2})}{\sqrt{1+z^2}}dz $

5 votes
1 answer
102 views

converge value of series $\sum_{n=0}^{\infty} \left( \frac{1}{n+d+1} - \frac{1}{n+5d+1} \right) $

5 votes
2 answers
1k views

Understand $\bowtie$ symbol : Non-commuting action of both group

5 votes
1 answer
332 views

Evaluate $ \int_{0}^{\infty} \frac{1}{x^3+x+1}dx$

5 votes
3 answers
129 views

Evaluate $\int_0^{2\pi} \frac{2-\cos t}{(2\cos t-1)^2 + \sin^2 t} dt$

5 votes
2 answers
292 views

triangle inside triangle// with ratio 2:1

5 votes
3 answers
144 views

Evaluating $\int_{-\pi}^{\pi}\frac{1}{ai+b\cos(x)}dx$ for real $a,b$

5 votes
1 answer
138 views

Convergence of $\sum_{n=1}^{\infty} \left(\frac{1}{n} - \sin\left(\frac{1}{n} \right) \right)^{\alpha}$

4 votes
2 answers
69 views

Find the integer : $x \times 29$ and delete the first and last digit, it produces $x$

4 votes
2 answers
64 views

Showing $\sum_{k=0}^{\infty} \sum_{i+j=k}a_i b_j = \sum_{k=0}^{\infty} a_k \sum_{k=0}^{\infty} b_k$

4 votes
2 answers
236 views

Is Convolution of continuous function $f$ and $\chi_{[-1,1]}$ differentiable?

4 votes
1 answer
163 views

How do I prove $\int_a^b |f(x)|^2 dx \leq \frac{(b-a)^2}{2} \int_a^b |f'(x)|^2 dx$. [duplicate]

4 votes
4 answers
144 views

How to show $((a,b),b)=(a,b)$?

4 votes
2 answers
2k views

Difference between simplex and simplicial complex

4 votes
0 answers
1k views

About Geodesic polar coordinate

4 votes
2 answers
183 views

How to prove $\int_0^1 \ln\left(\frac{1+x}{1-x}\right) \frac{dx}{x} = \frac{\pi^2}{4}$?

4 votes
1 answer
970 views

any continuous function is null homotopic for convex set.

4 votes
5 answers
3k views

Examples of Same fundamental group but not homeomorphic

4 votes
3 answers
191 views

How to integrate $\int \frac{ev+f}{av^2 + bv +c} dv$? [duplicate]

4 votes
3 answers
117 views

Finding general expression of series expansion $A^{-1} = \sum_{n=0}^{\infty} (-1)^n a_n x^n$, $A = \sum_{n=0}^{\infty} a_n x^n$

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