xpaul

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66 Answers

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7	Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
6	Prove the inequality $4S \sqrt{3}\le a^2+b^2+c^2$
6	How to integrate $f( \theta ) = \frac{1}{a + \sin( \theta ) }$?
4	Nice proofs of $\zeta(4) = \pi^4/90$?
4	Finding generating function for the recurrence $a_0 = 1$, $a_n = {n \choose 2} + 3a_{n - 1}$

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1,016 Reputation

+10	How to prove this identity $\pi=\sum\limits_{k=-\infty}^{\infty}\left(\frac{\sin(k)}{k}\right)^{2}\;$?
+5	Closed form for $\sum_{n=-\infty}^{\infty}\frac{1}{(n-a)^2+b^2}$.
+10	Nice proofs of $\zeta(4) = \pi^4/90$?
+10	How can I solve this recurrence?

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4 Questions

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11	Closed form for $\sum_{n=-\infty}^{\infty}\frac{1}{(n-a)^2+b^2}$.
4	Is $AB+BA$ is positive definite too if $A$ and $B$ are positive definite?
1	Prove or disprove a result for a double sequence.
0	How to show $\lim_{n\to\infty}\frac{(2n+1)!!}{2^nn!(2n-1)}=0$?

57 Tags

25 calculus × 28	12 integration × 7
19 homework × 9	9 real-analysis × 13
17 integral × 10	9 limit × 10
17 sequences-and-series × 10	8 inequality × 4
15 complex-analysis × 14	7 linear-algebra × 5

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